@article{MTMT:32931156, title = {On the KPZ equation with fractional diffusion: Global regularity and existence results}, url = {https://m2.mtmt.hu/api/publication/32931156}, author = {Abdellaoui, Boumediene and Peral, Ireneo and Primo, Ana and Soria, Fernando}, doi = {10.1016/j.jde.2021.12.016}, journal-iso = {J DIFFER EQUATIONS}, journal = {JOURNAL OF DIFFERENTIAL EQUATIONS}, volume = {312}, unique-id = {32931156}, issn = {0022-0396}, abstract = {In this work we analyze the existence of solutions to the fractional quasilinear problem,(P) {u(t) + (-Delta)(s) u = vertical bar del vertical bar(alpha) + f in Omega(T) equivalent to Omega x (0, T),u(x, t) = 0 in (R-N \ Omega) x [0, T),u(x, 0) = u(0)(x) in Omega,where Omega is a C-1,C-1 bounded domain in R-N, N > 2s and 1/2 < s< 1. We will assume that fand u(0) are non negative functions satisfying some additional hypotheses that will be specified later on.Assuming certain regularity on f, we will prove the existence of a solution to problem (P) for values a < s/1-s, as well as the non existence of such a solution when alpha > 1/1-s. This behavior clearly exhibits a deep difference with the local case. (c) 2021 Elsevier Inc. All rights reserved.}, keywords = {Kardar-Parisi-Zhang equation; Global regularity; Fractional heat equations; Nonlinear term in the gradient; General comparison principle}, year = {2022}, eissn = {1090-2732}, pages = {65-147} } @article{MTMT:33161235, title = {The Cauchy problem for a parabolic p-Laplacian equation with combined nonlinearities}, url = {https://m2.mtmt.hu/api/publication/33161235}, author = {Lu, Heqian and Zhang, Zhengce}, doi = {10.1016/j.jmaa.2022.126329}, journal-iso = {J MATH ANAL APPL}, journal = {JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS}, volume = {514}, unique-id = {33161235}, issn = {0022-247X}, abstract = {This article studies the Cauchy problem for the evolution p-Laplacian equation u(t) - Delta(p)u = lambda(u)m + mu vertical bar del u vertical bar(q)u(r) in R-N x (0, T). The local existence, global existence and nonexistence of solutions are investigated. In particular, for the case lambda > 0 and mu > 0, we obtain an optimal Fujita-type result, which demonstrates the positive gradient term brings about the discontinuity phenomenon of the critical exponent. For the case lambda > 0 and mu < 0, the existence and nonexistence of global solutions are also discussed. (C) 2022 Elsevier Inc. All rights reserved.}, keywords = {Global existence; p-Laplacian; Blowup; combined nonlinearities; Local existence}, year = {2022}, eissn = {1096-0813} } @article{MTMT:32931157, title = {Blow-up analysis for a reaction-diffusion equation with gradient absorption terms}, url = {https://m2.mtmt.hu/api/publication/32931157}, author = {Liang, Mengyang and Fang, Zhong Bo and Yi, Su-Cheol}, doi = {10.3934/math.2021800}, journal-iso = {AIMS MATH}, journal = {AIMS MATHEMATICS}, volume = {6}, unique-id = {32931157}, abstract = {This paper deals with the blow-up phenomena of solution to a reaction-diffusion equation with gradient absorption terms under nonlinear boundary flux. Based on the technique of modified differential inequality and comparison principle, we establish some conditions on nonlinearities to guarantee the solution exists globally or blows up at finite time. Moreover, some bounds for blow-up time are derived under appropriate measure in higher dimensional spaces (N >= 2).}, keywords = {Reaction-diffusion equation; Bounds for blow-up time; gradient absorption term; nonlinear boundary flux}, year = {2021}, eissn = {2473-6988}, pages = {13774-13796} } @article{MTMT:32292377, title = {Blow-Up Phenomenon for a Reaction-Diffusion Equation with Weighted Nonlocal Gradient Absorption Terms}, url = {https://m2.mtmt.hu/api/publication/32292377}, author = {Liang, Mengyang and Fang, Zhong Bo}, doi = {10.1007/s00009-021-01795-5}, journal-iso = {MEDITERR J MATH}, journal = {MEDITERRANEAN JOURNAL OF MATHEMATICS}, volume = {18}, unique-id = {32292377}, issn = {1660-5446}, abstract = {This paper deals with the blow-up phenomenon of solutions to a reaction-diffusion equation with weighted nonlocal gradient absorption terms in a bounded domain. Based on the method of auxiliary function and the technique of modified differential inequality, we establish appropriate conditions on weight function and nonlinearities to guarantee the solution exists globally or blows up at finite time. Moreover, upper and lower bounds for blow-up time are derived under appropriate measure in higher dimensional spaces.}, keywords = {Upper Bound; Reaction-diffusion equation; lower bound; 35B40; 35B33; Weighted nonlocal gradient absorption terms; Blow-up time; 35K92}, year = {2021}, eissn = {1660-5454} } @article{MTMT:32292378, title = {Regularity and global structure for Hamilton-Jacobi equations with convex Hamiltonian}, url = {https://m2.mtmt.hu/api/publication/32292378}, author = {Li, Tian-Hong and Wang, Jinghua and Wen, Hairui}, doi = {10.1142/S0219891621500132}, journal-iso = {J HYPERBOL DIFFER EQ}, journal = {JOURNAL OF HYPERBOLIC DIFFERENTIAL EQUATIONS}, volume = {18}, unique-id = {32292378}, issn = {0219-8916}, abstract = {We consider the multidimensional Hamilton-Jacobi (HJ) equation u(t)+gamma(-1)vertical bar Du vertical bar(gamma) = 0 with 1 < gamma < 2 being a constant and for bounded C-2 initial data. When gamma = 2, this is the typical case of interest with a uniformly convex Hamiltonian. When gamma = 1, this is the famous Eikonal equation from geometric optics, the Hamiltonian being Lipschitz continuous with homogeneity 1. We intend to fill the gap in between these two cases. When 1 < gamma < 2, the Hamiltonian H(p) = gamma(-1)vertical bar p vertical bar(gamma) is not uniformly convex and is only C1 in any neighborhood of 0, which causes new difficulties. In particular, points on characteristics emanating from points with vanishing gradient of the initial data could be "bad" points, so the singular set is more complicated than what is observed in the case gamma = 2. We establish here the regularity of solutions and the global structure of the singular set from a topological standpoint: the solution inherits the regularity of the initial data in the complement of the singular set and there is a one-to-one correspondence between the connected components of the singular set and the path-connected components of the set {y(0)vertical bar g(y(0)) >inf(y)is an element of R-n g(y)}.}, keywords = {Connected component; Hamilton-Jacobi equation; regularity property; global structure; singularity point}, year = {2021}, eissn = {1793-6993}, pages = {435-451} } @article{MTMT:32292379, title = {Extrapolated elliptic regularity and application to the van Roosbroeck system of semiconductor equations}, url = {https://m2.mtmt.hu/api/publication/32292379}, author = {Meinlschmidt, Hannes and Rehberg, Joachim}, doi = {10.1016/j.jde.2021.01.032}, journal-iso = {J DIFFER EQUATIONS}, journal = {JOURNAL OF DIFFERENTIAL EQUATIONS}, volume = {280}, unique-id = {32292379}, issn = {0022-0396}, abstract = {In this paper we present a general extrapolated elliptic regularity result for second order differential operators in divergence form on fractional Sobolev-type spaces of negative order X-D(s-1,q) (Omega) for s > 0 small, including mixed boundary conditions and with a fully nonsmooth geometry of Omega and the Dirichlet boundary part D. We expect the result to find applications in the analysis of nonlinear parabolic equations, in particular for quasilinear problems or when treating coupled systems of equations. To demonstrate the usefulness of our result, we give a new proof of local-in-time existence and uniqueness for the van Roosbroeck system for semiconductor devices which is much simpler than already established proofs. (C) 2021 Elsevier Inc. All rights reserved.}, keywords = {fractional Sobolev spaces; Elliptic regularity; Nonsmooth geometry; Sneiberg stability theorem; Van Roosbroeck system; Semiconductor equations}, year = {2021}, eissn = {1090-2732}, pages = {375-404} } @article{MTMT:31883568, title = {Dynamical properties of a nonlinear Kuramoto–Sivashinsky growth equation}, url = {https://m2.mtmt.hu/api/publication/31883568}, author = {Mohammed, Benlahsen and Vadászné Bognár, Gabriella and Csáti, Zoltán and Guedda, Mohammed and Hriczó, Krisztián}, doi = {10.1016/j.aej.2021.02.003}, journal-iso = {ALEX ENG J}, journal = {ALEXANDRIA ENGINEERING JOURNAL}, volume = {60}, unique-id = {31883568}, issn = {1110-0168}, year = {2021}, eissn = {2090-2670}, pages = {3419}, orcid-numbers = {Vadászné Bognár, Gabriella/0000-0002-4070-1376; Hriczó, Krisztián/0000-0003-3298-6495} } @article{MTMT:31416523, title = {Existence Results to a Class of Nonlinear Parabolic Systems Involving Potential and Gradient Terms}, url = {https://m2.mtmt.hu/api/publication/31416523}, author = {Abdellaoui, B. and Attar, A. and Bentifour, R. and Laamri, E-H}, doi = {10.1007/s00009-020-01542-2}, journal-iso = {MEDITERR J MATH}, journal = {MEDITERRANEAN JOURNAL OF MATHEMATICS}, volume = {17}, unique-id = {31416523}, issn = {1660-5446}, abstract = {In this paper, we investigate the existence of solutions to a nonlinear parabolic system, which couples a non-homogeneous reaction-diffusion-type equation and a non-homogeneous viscous Hamilton-Jacobi one. The initial data and right-hand sides satisfy suitable integrability conditions and non-negative. To simplify the presentation of our results, we will consider separately two simplified models : first, vanishing initial data, and then, vanishing right-hand sides.}, keywords = {Fixed point theorem; a priori estimates; Parabolic System; nonlinear gradient terms}, year = {2020}, eissn = {1660-5454} } @article{MTMT:31416525, title = {Asymptotic behavior of solutions for nonlinear parabolic operators with natural growth term and measure data}, url = {https://m2.mtmt.hu/api/publication/31416525}, author = {Abdellaoui, M.}, doi = {10.1007/s11868-019-00324-z}, journal-iso = {J PSEUDO-DIFFER OPER}, journal = {JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS}, volume = {11}, unique-id = {31416525}, issn = {1662-9981}, abstract = {We are interested in the asymptotic behavior, as t tends to +infinity, of finite energy solutions and entropy solutions u(n) of nonlinear parabolic problems whose model is{u(t) - Delta(p)u + g(u)vertical bar del vertical bar(p) = mu in (0, T) x Omega, u(0,x) = u(0)(x) in Omega, u(t,x) = 0 on (0,T) x partial derivative Omega (0,1)where Omega subset of R-N is a bounded open set, N >= 3, u(0) is an element of L-1(Omega) is a nonnegative initial data, whileg: R -> R is a real function in C-1(R) which satisfies sign condition with positive derivative and mu is a nonnegative measure independent on time which does not charge sets of nullp-capacity.}, keywords = {asymptotic behavior; Measure data; Natural growth term; Nonlinear parabolic operators; p-capacity}, year = {2020}, eissn = {1662-999X}, pages = {1289-1329} } @article{MTMT:31416522, title = {Single-point gradient blow-up on the boundary for diffusive Hamilton-Jacobi equation in domains with non-constant curvature}, url = {https://m2.mtmt.hu/api/publication/31416522}, author = {Esteve, Carlos}, doi = {10.1016/j.matpur.2019.12.006}, journal-iso = {J MATH PURE APPL}, journal = {JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES}, volume = {137}, unique-id = {31416522}, issn = {0021-7824}, abstract = {We consider the diffusive Hamilton-Jacobi equation ut - Delta u =vertical bar del u vertical bar(p) in a bounded planar domain with zero Dirichlet boundary condition. It is known that, for p > 2, the solutions to this problem can exhibit gradient blow-up (GBU) at the boundary. In this paper we study the possibility of the GBU set being reduced to a single point. In a previous work [Y.-X. Li, Ph. Souplet, 2009], it was shown that single point GBU solutions can be constructed in very particular domains, i.e. locally flat domains and disks. Here, we prove the existence of single point GBU solutions in a large class of domains, for which the curvature of the boundary may be nonconstant near the GBU point.Our strategy is to use a boundary-fitted curvilinear coordinate system, combined with suitable auxiliary functions and appropriate monotonicity properties of the solution. The derivation and analysis of the parabolic equations satisfied by the auxiliary functions necessitate long and technical calculations involving boundaryfitted coordinates. (C) 2019 Elsevier Masson SAS. All rights reserved.}, keywords = {Viscous Hamilton-Jacobi equation; Gradient blow-up; Boundary-fitted coordinates}, year = {2020}, eissn = {1776-3371}, pages = {143-177} } @article{MTMT:31416524, title = {DISCONTINUOUS CRITICAL FUJITA EXPONENTS FOR THE HEAT EQUATION WITH COMBINED NONLINEARITIES}, url = {https://m2.mtmt.hu/api/publication/31416524}, author = {Jleli, Mohamed and Samet, Bessem and Souplet, Philippe}, doi = {10.1090/proc/14953}, journal-iso = {P AM MATH SOC}, journal = {PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY}, volume = {148}, unique-id = {31416524}, issn = {0002-9939}, abstract = {We consider the nonlinear heat equation u(t) - Delta u = vertical bar u vertical bar(p)+b vertical bar del u vertical bar(q) in (0,infinity) x R-n, where n >= 1, p > 1, q >= 1, and b > 0. First, we focus our attention on positive solutions and obtain an optimal Fujita-type result: any positive solution blows up in finite time if p <= 1+ 2/n or q <= 1+ 1/n+1, while global classical positive solutions exist for suitably small initial data when p > 1 + 2/n and q > 1+ 1/n+1. Although finite time blow-up cannot be produced by the gradient term alone and should be considered as an effect of the source term vertical bar u vertical bar(p), this result shows that the gradient term induces an interesting phenomenon of discontinuity of the critical Fujita exponent, jumping from p = 1+ 2/n to p = infinity as q reaches the value 1 + 1/n+1 from above. Next, we investigate the case of sign-changing solutions and show that if p <= 1 + 2/n or 0 < (q - 1)(np - 1) <= 1, then the solution blows up in finite time for any nontrivial initial data with nonnegative mean. Finally, a Fujita-type result, with a different critical exponent, is obtained for sign-changing solutions to the inhomogeneous version of this problem.}, keywords = {heat equation; Global existence; Blow-up; combined nonlinearities; Fujita critical exponent}, year = {2020}, eissn = {1088-6826}, pages = {2579-2593} } @article{MTMT:30901957, title = {Keller-Osserman estimates and removability result for the anisotropic porous medium equation with gradient absorption term}, url = {https://m2.mtmt.hu/api/publication/30901957}, author = {Shan, M. A. and Skrypnik, I. I.}, doi = {10.1002/mana.201700177}, journal-iso = {MATH NACHR}, journal = {MATHEMATISCHE NACHRICHTEN}, volume = {292}, unique-id = {30901957}, issn = {0025-584X}, abstract = {We study "large" nonnegative solutions for a class of quasilinear equations model of which isu(t) - Sigma(n)(i=1)(u(mt-1)u(xt))(xt) + Sigma(n)(i=1)vertical bar u(xt)vertical bar(qt) = 0.We give a sufficient condition on the exponents m(i) and q(i) for the removability of isolated singularities.}, keywords = {anisotropic porous medium equation; Keller-Osserman a priori estimates; removability of isolated singularity}, year = {2019}, eissn = {1522-2616}, pages = {436-453} } @article{MTMT:30462863, title = {Bounds for blow-up time of a reaction-diffusion equation with weighted gradient nonlinearity}, url = {https://m2.mtmt.hu/api/publication/30462863}, author = {Ma, Lingwei and Fang, Zhong Bo}, doi = {10.1016/j.camwa.2018.04.033}, journal-iso = {COMPUT MATH APPL}, journal = {COMPUTERS AND MATHEMATICS WITH APPLICATIONS}, volume = {76}, unique-id = {30462863}, issn = {0898-1221}, abstract = {In this paper, we focus on the bounds for blow-up time of null Dirichlet initial boundary value problem for a reaction-diffusion equation with weighted gradient nonlinearity. By virtue of the method of super-sub solution and the technique of modified differential inequality, we establish sufficient conditions to guarantee that the solution blows up at finite time under appropriate measure sense. Meanwhile, upper and lower bounds for the blow-up time are found in higher dimensional spaces and some examples for application are presented. (C)2018 Elsevier Ltd. All rights reserved .}, keywords = {Reaction-diffusion equation; Weight function; Gradient term; Bounds for blow-up time}, year = {2018}, eissn = {1873-7668}, pages = {508-519} } @{MTMT:30462861, title = {On Some Elliptic and Parabolic Equations Related to Growth Models}, url = {https://m2.mtmt.hu/api/publication/30462861}, author = {Peral, Ireneo}, booktitle = {PARTIAL DIFFERENTIAL EQUATIONS AND GEOMETRIC MEASURE THEORY}, doi = {10.1007/978-3-319-74042-3_2}, unique-id = {30462861}, year = {2018}, pages = {43-195} } @article{MTMT:27060264, title = {BSDEs with diffusion constraint and viscous Hamilton-Jacobi equations with unbounded data}, url = {https://m2.mtmt.hu/api/publication/27060264}, author = {Cosso, Andrea and Huyen, Pham and Xing, Hao}, doi = {10.1214/16-AIHP762}, journal-iso = {ANN I H POINCARE-PR}, journal = {ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES}, volume = {53}, unique-id = {27060264}, issn = {0246-0203}, year = {2017}, eissn = {1778-7017}, pages = {1528-1547} } @article{MTMT:26732933, title = {Instantaneous shrinking and single point extinction for viscous Hamilton-Jacobi equations with fast diffusion}, url = {https://m2.mtmt.hu/api/publication/26732933}, author = {Iagar, Razvan Gabriel and Laurencot, Philippe and Stinner, Christian}, doi = {10.1007/s00208-016-1408-z}, journal-iso = {MATH ANN}, journal = {MATHEMATISCHE ANNALEN}, volume = {368}, unique-id = {26732933}, issn = {0025-5831}, year = {2017}, eissn = {1432-1807}, pages = {65-109} } @article{MTMT:26889889, title = {Large Time Behavior for a Quasilinear Diffusion Equation with Critical Gradient Absorption}, url = {https://m2.mtmt.hu/api/publication/26889889}, author = {Iagar, Razvan Gabriel and Laurencot, Philippe}, doi = {10.1007/s10884-015-9508-0}, journal-iso = {J DYN DIFFER EQU}, journal = {JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS}, volume = {29}, unique-id = {26889889}, issn = {1040-7294}, year = {2017}, eissn = {1572-9222}, pages = {817-832} } @article{MTMT:26712965, title = {Self-similar extinction for a diffusive Hamilton-Jacobi equation with critical absorption}, url = {https://m2.mtmt.hu/api/publication/26712965}, author = {Iagar, Razvan Gabriel and Laurencot, Philippe}, doi = {10.1007/s00526-017-1158-0}, journal-iso = {CALC VAR PARTIAL DIF}, journal = {CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS}, volume = {56}, unique-id = {26712965}, issn = {0944-2669}, year = {2017}, eissn = {1432-0835} } @article{MTMT:26712967, title = {Existence of mild solutions for a Hamilton-Jacobi equation with critical fractional viscosity in the Besov spaces}, url = {https://m2.mtmt.hu/api/publication/26712967}, author = {Iwabuchi, Tsukasa and Kawakami, Tatsuki}, doi = {10.1016/j.matpur.2016.07.007}, journal-iso = {J MATH PURE APPL}, journal = {JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES}, volume = {107}, unique-id = {26712967}, issn = {0021-7824}, year = {2017}, eissn = {1776-3371}, pages = {464-489} } @article{MTMT:26889890, title = {The Profile of Boundary Gradient Blowup for the Diffusive Hamilton-Jacobi Equation}, url = {https://m2.mtmt.hu/api/publication/26889890}, author = {Porretta, Alessio and Souplet, Philippe}, doi = {10.1093/imrn/rnw154}, journal-iso = {INT MATH RES NOTICES}, journal = {INTERNATIONAL MATHEMATICS RESEARCH NOTICES}, unique-id = {26889890}, issn = {1073-7928}, year = {2017}, eissn = {1687-0247}, pages = {5260-5301} } @article{MTMT:25312041, title = {LOCAL AND GLOBAL ESTIMATES OF SOLUTIONS OF HAMILTON-JACOBI PARABOLIC EQUATION WITH ABSORPTION}, url = {https://m2.mtmt.hu/api/publication/25312041}, author = {Bidaut-Veron, Marie Francoise}, journal-iso = {ADV DIFF EQU}, journal = {ADVANCES IN DIFFERENTIAL EQUATIONS}, volume = {20}, unique-id = {25312041}, issn = {1079-9389}, year = {2015}, eissn = {1079-9389}, pages = {1033-1066} } @article{MTMT:25312042, title = {Initial Trace of Solutions of Hamilton-Jacobi Parabolic Equation with Absorption}, url = {https://m2.mtmt.hu/api/publication/25312042}, author = {Bidaut-Veron, Marie-Francoise and Nguyen, Anh Dao}, journal-iso = {ADV NONLINEAR STUD}, journal = {ADVANCED NONLINEAR STUDIES}, volume = {15}, unique-id = {25312042}, issn = {1536-1365}, year = {2015}, eissn = {2169-0375}, pages = {889-921} } @article{MTMT:24802299, title = {Global existence versus blow-up results for a fourth order parabolic PDE involving the Hessian}, url = {https://m2.mtmt.hu/api/publication/24802299}, author = {Escudero, Carlos and Gazzola, Filippo and Feral, Ireneo}, doi = {10.1016/j.matpur.2014.09.007}, journal-iso = {J MATH PURE APPL}, journal = {JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES}, volume = {103}, unique-id = {24802299}, issn = {0021-7824}, year = {2015}, eissn = {1776-3371}, pages = {924-957} } @article{MTMT:25497103, title = {Self-Similar Blow-Up Solutions of the KPZ Equation}, url = {https://m2.mtmt.hu/api/publication/25497103}, author = {Gladkov, A}, doi = {10.1155/2015/572841}, journal-iso = {INTERNATIONAL JOURNAL OF DIFFERENTIAL EQUATIONS}, journal = {INTERNATIONAL JOURNAL OF DIFFERENTIAL EQUATIONS}, volume = {2015}, unique-id = {25497103}, issn = {1687-9643}, year = {2015} } @article{MTMT:24802300, title = {Cauchy problem for doubly degenerate parabolic equation with gradient source}, url = {https://m2.mtmt.hu/api/publication/24802300}, author = {Shang, Haifeng and Cheng, Junxiang}, doi = {10.1016/j.na.2014.10.006}, journal-iso = {NONLINEAR ANAL-THEOR}, journal = {NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS}, volume = {113}, unique-id = {24802300}, issn = {0362-546X}, year = {2015}, eissn = {1873-5215}, pages = {323-338} } @article{MTMT:25774628, title = {Cauchy problem for doubly singular parabolic equation with gradient source}, url = {https://m2.mtmt.hu/api/publication/25774628}, author = {Shang, Haifeng and Sun, Junling and Deng, Lihua}, doi = {10.1002/mana.201500010}, journal-iso = {MATH NACHR}, journal = {MATHEMATISCHE NACHRICHTEN}, volume = {288}, unique-id = {25774628}, issn = {0025-584X}, year = {2015}, eissn = {1522-2616}, pages = {2109-2128} } @article{MTMT:24802303, title = {BSDEs with terminal conditions that have bounded Malliavin derivative}, url = {https://m2.mtmt.hu/api/publication/24802303}, author = {Cheridito, Patrick and Nam, Kihun}, doi = {10.1016/j.jfa.2013.12.004}, journal-iso = {J FUNCT ANAL}, journal = {JOURNAL OF FUNCTIONAL ANALYSIS}, volume = {266}, unique-id = {24802303}, issn = {0022-1236}, year = {2014}, eissn = {1096-0783}, pages = {1257-1285} } @article{MTMT:24802305, title = {Asymptotic behavior for a singular diffusion equation with gradient absorption}, url = {https://m2.mtmt.hu/api/publication/24802305}, author = {Iagar, Razvan Gabriel and Laurencot, Philippe}, doi = {10.1016/j.jde.2014.01.016}, journal-iso = {J DIFFER EQUATIONS}, journal = {JOURNAL OF DIFFERENTIAL EQUATIONS}, volume = {256}, unique-id = {24802305}, issn = {0022-0396}, year = {2014}, eissn = {1090-2732}, pages = {2739-2777} } @article{MTMT:24802301, title = {Large time behavior of solutions for the porous medium equation with a nonlinear gradient source}, url = {https://m2.mtmt.hu/api/publication/24802301}, author = {Li, Nan and Zheng, Pan and Mu, Chunlai and Ahmed, Iftikhar}, doi = {10.1186/1687-2770-2014-98}, journal-iso = {BOUND VALUE PROBL}, journal = {BOUNDARY VALUE PROBLEMS}, volume = {2014}, unique-id = {24802301}, issn = {1687-2762}, year = {2014}, eissn = {1687-2770}, pages = {1-21} } @article{MTMT:24802302, title = {Cauchy problem for nonlinear parabolic equations with a gradient term}, url = {https://m2.mtmt.hu/api/publication/24802302}, author = {Shang, Haifeng}, doi = {10.1016/j.jde.2014.05.049}, journal-iso = {J DIFFER EQUATIONS}, journal = {JOURNAL OF DIFFERENTIAL EQUATIONS}, volume = {257}, unique-id = {24802302}, issn = {0022-0396}, year = {2014}, eissn = {1090-2732}, pages = {2801-2825} } @article{MTMT:25497105, title = {Waiting time phenomena for the porous medium equation with gradient absorption}, url = {https://m2.mtmt.hu/api/publication/25497105}, author = {Zheng, P and Mu, C and Zhang, F and Ahmed, I}, doi = {10.1007/s12190-014-0771-8}, journal-iso = {J APPL MATH COMPUT}, journal = {JOURNAL OF APPLIED MATHEMATICS AND COMPUTING}, volume = {47}, unique-id = {25497105}, issn = {1598-5865}, year = {2014}, eissn = {1865-2085}, pages = {225-236} } @article{MTMT:23006085, title = {Strong Regularizing Effect of a Gradient Term in the Heat Equation with a Weight}, url = {https://m2.mtmt.hu/api/publication/23006085}, author = {Abdellaoui, B and Nasri, Y and Primo, A}, doi = {10.1007/s00009-011-0172-2}, journal-iso = {MEDITERR J MATH}, journal = {MEDITERRANEAN JOURNAL OF MATHEMATICS}, volume = {10}, unique-id = {23006085}, issn = {1660-5446}, year = {2013}, eissn = {1660-5454}, pages = {289-311} } @article{MTMT:24802308, title = {L-infinity estimates and uniqueness results for nonlinear parabolic equations with gradient absorption terms}, url = {https://m2.mtmt.hu/api/publication/24802308}, author = {Bidaut-Veron, Marie Francoise and Nguyen, Anh Dao}, doi = {10.1016/j.na.2013.06.013}, journal-iso = {NONLINEAR ANAL-THEOR}, journal = {NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS}, volume = {91}, unique-id = {24802308}, issn = {0362-546X}, year = {2013}, eissn = {1873-5215}, pages = {121-152} } @article{MTMT:25657617, title = {A note on the existence of solutions to Markovian superquadratic BSDEs with an unbounded terminal condition}, url = {https://m2.mtmt.hu/api/publication/25657617}, author = {Masiero, Federica and Richou, Adrien}, doi = {10.1214/EJP.v18-2124}, journal-iso = {ELECTRON J PROBAB}, journal = {ELECTRONIC JOURNAL OF PROBABILITY}, volume = {18}, unique-id = {25657617}, issn = {1083-6489}, year = {2013}, eissn = {1083-6489}, pages = {1-15} } @article{MTMT:24802310, title = {Doubly nonlinear parabolic equations with measure data}, url = {https://m2.mtmt.hu/api/publication/24802310}, author = {Shang, Haifeng}, doi = {10.1007/s10231-011-0223-0}, journal-iso = {ANN MAT PUR APPL}, journal = {ANNALI DI MATEMATICA PURA ED APPLICATA}, volume = {192}, unique-id = {24802310}, issn = {0373-3114}, year = {2013}, eissn = {1618-1891}, pages = {273-296} } @article{MTMT:24802309, title = {Global existence and non-existence for the degenerate and uniformly parabolic equations with gradient term}, url = {https://m2.mtmt.hu/api/publication/24802309}, author = {Shang, Haifeng}, doi = {10.1017/S030821051100103X}, journal-iso = {P ROY SOC EDINB A}, journal = {PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS}, volume = {143}, unique-id = {24802309}, issn = {0308-2105}, year = {2013}, eissn = {1473-7124}, pages = {643-668} } @article{MTMT:23006070, title = {ISOLATED INITIAL SINGULARITIES FOR THE VISCOUS HAMILTON-JACOBI EQUATION}, url = {https://m2.mtmt.hu/api/publication/23006070}, author = {Bidaut-Veron, MF and Dao, NA}, journal-iso = {ADV DIFF EQU}, journal = {ADVANCES IN DIFFERENTIAL EQUATIONS}, volume = {17}, unique-id = {23006070}, issn = {1079-9389}, year = {2012}, eissn = {1079-9389}, pages = {903-934} } @article{MTMT:23006071, title = {Existence, minimality and approximation of solutions to BSDEs with convex drivers}, url = {https://m2.mtmt.hu/api/publication/23006071}, author = {Cheridito, P and Stadje, M}, doi = {10.1016/j.spa.2011.12.008}, journal-iso = {STOCH PROC APPL}, journal = {STOCHASTIC PROCESSES AND THEIR APPLICATIONS}, volume = {122}, unique-id = {23006071}, issn = {0304-4149}, year = {2012}, eissn = {1879-209X}, pages = {1540-1565} } @article{MTMT:23006068, title = {Random ballistic growth and diffusion in symmetric spaces}, url = {https://m2.mtmt.hu/api/publication/23006068}, author = {Gorsky, A and Nechaev, S and Santachiara, R and Schehr, G}, doi = {10.1016/j.nuclphysb.2012.04.005}, journal-iso = {NUCL PHYS B}, journal = {NUCLEAR PHYSICS B}, volume = {862}, unique-id = {23006068}, issn = {0550-3213}, year = {2012}, eissn = {1873-1562}, pages = {167-192} } @article{MTMT:23006069, title = {Positivity, decay, and extinction for a singular diffusion equation with gradient absorption}, url = {https://m2.mtmt.hu/api/publication/23006069}, author = {Iagar, RG and Laurencot, P}, doi = {10.1016/j.jfa.2012.01.013}, journal-iso = {J FUNCT ANAL}, journal = {JOURNAL OF FUNCTIONAL ANALYSIS}, volume = {262}, unique-id = {23006069}, issn = {0022-1236}, year = {2012}, eissn = {1096-0783}, pages = {3186-3239} } @article{MTMT:23006072, title = {Cauchy problem for fast diffusion equations with a gradient term}, url = {https://m2.mtmt.hu/api/publication/23006072}, author = {Shang, HF}, doi = {10.1016/j.jmaa.2012.06.003}, journal-iso = {J MATH ANAL APPL}, journal = {JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS}, volume = {396}, unique-id = {23006072}, issn = {0022-247X}, year = {2012}, eissn = {1096-0813}, pages = {133-144} } @article{MTMT:21683623, title = {Convex Hamilton-Jacobi equations under superlinear growth conditions on data}, url = {https://m2.mtmt.hu/api/publication/21683623}, author = {Da, Lio F and Ley, O}, doi = {10.1007/s00245-010-9122-9}, journal-iso = {APPL MATH OPT}, journal = {APPLIED MATHEMATICS AND OPTIMIZATION}, volume = {63}, unique-id = {21683623}, issn = {0095-4616}, year = {2011}, eissn = {1432-0606}, pages = {309-339} } @article{MTMT:21683624, title = {Backward SDEs with superquadratic growth}, url = {https://m2.mtmt.hu/api/publication/21683624}, author = {Delbaen, F and Hu, Y and Bao, X}, doi = {10.1007/s00440-010-0271-1}, journal-iso = {PROBAB THEORY REL}, journal = {PROBABILITY THEORY AND RELATED FIELDS}, volume = {150}, unique-id = {21683624}, issn = {0178-8051}, year = {2011}, eissn = {1432-2064}, pages = {145-192} } @article{MTMT:21683625, title = {Backward motion and waiting time phenomena for degenerate parabolic equations with nonlinear gradient absorption}, url = {https://m2.mtmt.hu/api/publication/21683625}, author = {Namlyeyeva, Y V and Taranets, R M}, doi = {10.1007/s00229-011-0454-9}, journal-iso = {MANUSCRIPTA MATH}, journal = {MANUSCRIPTA MATHEMATICA}, volume = {136}, unique-id = {21683625}, issn = {0025-2611}, year = {2011}, eissn = {1432-1785}, pages = {475-500} } @article{MTMT:21683622, title = {On the Cauchy problem for the singular parabolic equations with gradient term}, url = {https://m2.mtmt.hu/api/publication/21683622}, author = {Shang, H}, doi = {10.1016/j.jmaa.2011.01.024}, journal-iso = {J MATH ANAL APPL}, journal = {JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS}, volume = {378}, unique-id = {21683622}, issn = {0022-247X}, year = {2011}, eissn = {1096-0813}, pages = {578-591} } @article{MTMT:21683626, title = {Optimal results for parabolic problems arising in some physical models with critical growth in the gradient respect to a Hardy potential}, url = {https://m2.mtmt.hu/api/publication/21683626}, author = {Abdellaoui, B and Peral, I and Primo, A}, doi = {10.1016/j.aim.2010.04.028}, journal-iso = {ADV MATH}, journal = {ADVANCES IN MATHEMATICS}, volume = {225}, unique-id = {21683626}, issn = {0001-8708}, year = {2010}, eissn = {1090-2082}, pages = {2967-3021} } @article{MTMT:21683629, title = {Convergence to steady states for radially symmetric solutions to a quasilinear degenerate diffusive Hamilton-Jacobi equation}, url = {https://m2.mtmt.hu/api/publication/21683629}, author = {Barles, G and Laurençot, P and Stinner, C}, doi = {10.3233/ASY-2010-0981}, journal-iso = {ASYMPTOTIC ANAL}, journal = {ASYMPTOTIC ANALYSIS}, volume = {67}, unique-id = {21683629}, issn = {0921-7134}, year = {2010}, eissn = {1875-8576}, pages = {229-250} } @article{MTMT:23006073, title = {Single-Point Gradient Blow-up on the Boundary for Diffusive Hamilton-Jacobi Equations in Planar Domains}, url = {https://m2.mtmt.hu/api/publication/23006073}, author = {Li, YX and Souplet, P}, doi = {10.1007/s00220-009-0936-8}, journal-iso = {COMMUN MATH PHYS}, journal = {COMMUNICATIONS IN MATHEMATICAL PHYSICS}, volume = {293}, unique-id = {23006073}, issn = {0010-3616}, year = {2010}, eissn = {1432-0916}, pages = {499-517} } @article{MTMT:21683628, title = {Convergence to steady states in a viscous Hamilton-Jacobi equation with degenerate diffusion}, url = {https://m2.mtmt.hu/api/publication/21683628}, author = {Stinner, C}, doi = {10.1016/j.jde.2009.09.019}, journal-iso = {J DIFFER EQUATIONS}, journal = {JOURNAL OF DIFFERENTIAL EQUATIONS}, volume = {248}, unique-id = {21683628}, issn = {0022-0396}, year = {2010}, eissn = {1090-2732}, pages = {209-228} } @article{MTMT:21683627, title = {Large time behavior of solutions of viscous hamilton-jacobi equations with superquadratic hamiltonian}, url = {https://m2.mtmt.hu/api/publication/21683627}, author = {Tabet, Tchamba T}, doi = {10.3233/ASY-2009-0965}, journal-iso = {ASYMPTOTIC ANAL}, journal = {ASYMPTOTIC ANALYSIS}, volume = {66}, unique-id = {21683627}, issn = {0921-7134}, year = {2010}, eissn = {1875-8576}, pages = {161-186} } @article{MTMT:23006074, title = {SHARP DECAY ESTIMATES AND VANISHING VISCOSITY FOR DIFFUSIVE HAMILTON-JACOBI EQUATIONS}, url = {https://m2.mtmt.hu/api/publication/23006074}, author = {Benachour, S and Ben-Artzi, M and Laurencot, P}, journal-iso = {ADV DIFF EQU}, journal = {ADVANCES IN DIFFERENTIAL EQUATIONS}, volume = {14}, unique-id = {23006074}, issn = {1079-9389}, year = {2009}, eissn = {1079-9389}, pages = {1-25} } @article{MTMT:21683631, title = {A class of semilinear parabolic equations with singular initial data}, url = {https://m2.mtmt.hu/api/publication/21683631}, author = {Hirata, D}, doi = {10.1016/j.na.2008.03.025}, journal-iso = {NONLINEAR ANAL-THEOR}, journal = {NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS}, volume = {70}, unique-id = {21683631}, issn = {0362-546X}, year = {2009}, eissn = {1873-5215}, pages = {2403-2415} } @article{MTMT:21683630, title = {Singular parabolic equations with measures as initial data}, url = {https://m2.mtmt.hu/api/publication/21683630}, author = {Shang, H and Li, F}, doi = {10.1016/j.jde.2009.06.003}, journal-iso = {J DIFFER EQUATIONS}, journal = {JOURNAL OF DIFFERENTIAL EQUATIONS}, volume = {247}, unique-id = {21683630}, issn = {0022-0396}, year = {2009}, eissn = {1090-2732}, pages = {1720-1745} } @article{MTMT:21683632, title = {Regularity and nonuniqueness results for parabolic problems arising in some physical models, having natural growth in the gradient}, url = {https://m2.mtmt.hu/api/publication/21683632}, author = {Abdellaoui, B and Dall, Aglio A and Peral, I}, doi = {10.1016/j.matpur.2008.04.004}, journal-iso = {J MATH PURE APPL}, journal = {JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES}, volume = {90}, unique-id = {21683632}, issn = {0021-7824}, year = {2008}, eissn = {1776-3371}, pages = {242-269} } @article{MTMT:21683633, title = {Gradient estimates for a degenerate parabolic equation with gradient absorption and applications}, url = {https://m2.mtmt.hu/api/publication/21683633}, author = {Bartier, J -P and Laurençot, Ph}, doi = {10.1016/j.jfa.2007.10.012}, journal-iso = {J FUNCT ANAL}, journal = {JOURNAL OF FUNCTIONAL ANALYSIS}, volume = {254}, unique-id = {21683633}, issn = {0022-1236}, year = {2008}, eissn = {1096-0783}, pages = {851-878} } @article{MTMT:1756292, title = {A KPZ growth model with possibly unbounded data: Correctness and blow-up}, url = {https://m2.mtmt.hu/api/publication/1756292}, author = {Gladkov, A and Guedda, M and Kersner, Róbert}, doi = {10.1016/j.na.2007.01.033}, journal-iso = {NONLINEAR ANAL-THEOR}, journal = {NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS}, volume = {68}, unique-id = {1756292}, issn = {0362-546X}, abstract = {Existence and uniqueness results for initial value problem with a given growth condition (upper bound) on the initial datum for the so-called generalized deterministic KPZ (Kardar-Parisi-Zhang) equation ut = ux x + λ | ux |q are obtained. Self-similar blow-up solutions are investigated also. © 2007 Elsevier Ltd. All rights reserved.}, keywords = {Mathematical models; Initial value problems; Unbounded data; Growth conditions; Jacobian matrices; Viscous Hamilton-Jacobi equation; Surface growth; Self-similar blow-up solutions; KPZ equation}, year = {2008}, eissn = {1873-5215}, pages = {2079-2091} } @article{MTMT:21683635, title = {Fractal hamilton-jacobi-kpz equations}, url = {https://m2.mtmt.hu/api/publication/21683635}, author = {Karch, G and WoyczyŃski, W A}, doi = {10.1090/S0002-9947-07-04389-9}, journal-iso = {T AM MATH SOC}, journal = {TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY}, volume = {360}, unique-id = {21683635}, issn = {0002-9947}, year = {2008}, eissn = {1088-6850}, pages = {2423-2442} } @article{MTMT:21683634, title = {Gradient estimate for the degenerate parabolic equation ut = Δ F (u) + H (u) on manifolds}, url = {https://m2.mtmt.hu/api/publication/21683634}, author = {Ma, L and Zhao, L and Song, X}, doi = {10.1016/j.jde.2007.08.014}, journal-iso = {J DIFFER EQUATIONS}, journal = {JOURNAL OF DIFFERENTIAL EQUATIONS}, volume = {244}, unique-id = {21683634}, issn = {0022-0396}, year = {2008}, eissn = {1090-2732}, pages = {1157-1177} } @article{MTMT:21683637, title = {Decay estimates for a viscous Hamilton-Jacobi equation with homogeneous Dirichlet boundary conditions}, url = {https://m2.mtmt.hu/api/publication/21683637}, author = {Benachour, S and Dbuleanu-Hapca, S and Laurenot, P}, journal-iso = {ASYMPTOTIC ANAL}, journal = {ASYMPTOTIC ANALYSIS}, volume = {51}, unique-id = {21683637}, issn = {0921-7134}, year = {2007}, eissn = {1875-8576}, pages = {209-229} } @article{MTMT:24802312, title = {NONLINEAR PARABOLIC PROBLEMS WITH A VERY GENERAL QUADRATIC GRADIENT TERM}, url = {https://m2.mtmt.hu/api/publication/24802312}, author = {Dall'Aglio, A and Giachetti, D and Segura, de Leon S}, journal-iso = {DIFFER INTEGR EQUAT}, journal = {DIFFERENTIAL AND INTEGRAL EQUATIONS}, volume = {20}, unique-id = {24802312}, issn = {0893-4983}, year = {2007}, eissn = {0893-4983}, pages = {361-396} } @article{MTMT:25687101, title = {Complete classification of shape functions of self-similar solutions}, url = {https://m2.mtmt.hu/api/publication/25687101}, author = {Fang, Zhong Bo and Kwak, Minkyu}, doi = {10.1016/j.jmaa.2006.08.042}, journal-iso = {J MATH ANAL APPL}, journal = {JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS}, volume = {330}, unique-id = {25687101}, issn = {0022-247X}, year = {2007}, eissn = {1096-0813}, pages = {1447-1464} } @article{MTMT:23006076, title = {Asymptotic behavior for a viscous Hamilton-Jacobi equation with critical exponent}, url = {https://m2.mtmt.hu/api/publication/23006076}, author = {Gallay, T and Laurencot, P}, doi = {10.1512/iumj.2007.56.3107}, journal-iso = {INDIANA U MATH J}, journal = {INDIANA UNIVERSITY MATHEMATICS JOURNAL}, volume = {56}, unique-id = {23006076}, issn = {0022-2518}, year = {2007}, eissn = {1943-5258}, pages = {459-479} } @article{MTMT:23006075, title = {Convergence to steady states for a one-dimensional viscous Hamilton-Jacobi equation with Dirichlet boundary conditions}, url = {https://m2.mtmt.hu/api/publication/23006075}, author = {Laurencot, P}, doi = {10.2140/pjm.2007.230.347}, journal-iso = {PAC J MATH}, journal = {PACIFIC JOURNAL OF MATHEMATICS}, volume = {230}, unique-id = {23006075}, issn = {0030-8730}, year = {2007}, eissn = {1945-5844}, pages = {347-364} } @article{MTMT:21683641, title = {Asymptotic behavior for solutions of parabolic equations with natural growth terms and irregular data}, url = {https://m2.mtmt.hu/api/publication/21683641}, author = {Leonori, T and Petitta, F}, journal-iso = {ASYMPTOTIC ANAL}, journal = {ASYMPTOTIC ANALYSIS}, volume = {48}, unique-id = {21683641}, issn = {0921-7134}, year = {2006}, eissn = {1875-8576}, pages = {219-233} } @article{MTMT:23006077, title = {Global solutions of inhomogeneous Hamilton-Jacobi equations}, url = {https://m2.mtmt.hu/api/publication/23006077}, author = {Souplet, P and Zhang, QS}, doi = {10.1007/BF02789452}, journal-iso = {J ANAL MATH}, journal = {JOURNAL D ANALYSE MATHEMATIQUE}, volume = {99}, unique-id = {23006077}, issn = {0021-7670}, year = {2006}, eissn = {1565-8538}, pages = {355-396} } @article{MTMT:21683640, title = {Sharp gradient estimate and Yau's Liouville theorem for the heat equation on noncompact manifolds}, url = {https://m2.mtmt.hu/api/publication/21683640}, author = {Souplet, P and Zhang, Q S}, doi = {10.1112/S0024609306018947}, journal-iso = {B LOND MATH SOC}, journal = {BULLETIN OF THE LONDON MATHEMATICAL SOCIETY}, volume = {38}, unique-id = {21683640}, issn = {0024-6093}, year = {2006}, eissn = {1469-2120}, pages = {1045-1053} } @article{MTMT:21683639, title = {Stabilization towards a singular steady state with gradient blow-up for a diffusion-convection problem}, url = {https://m2.mtmt.hu/api/publication/21683639}, author = {Souplet, P and Vázquez, J L}, doi = {10.3934/dcds.2006.14.221}, journal-iso = {DISCRETE CONT DYN S}, journal = {DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS SERIES A}, volume = {14}, unique-id = {21683639}, issn = {1078-0947}, year = {2006}, eissn = {1553-5231}, pages = {221-234} } @article{MTMT:23006081, title = {Large time behavior for a viscous Hamilton-Jacobi equation with Neumann boundary condition}, url = {https://m2.mtmt.hu/api/publication/23006081}, author = {Benachour, S and Dabuleanu, S}, doi = {10.1016/j.jde.2005.02.017}, journal-iso = {J DIFFER EQUATIONS}, journal = {JOURNAL OF DIFFERENTIAL EQUATIONS}, volume = {216}, unique-id = {23006081}, issn = {0022-0396}, year = {2005}, eissn = {1090-2732}, pages = {223-258} } @article{MTMT:23006078, title = {The Cauchy-Neumann problem for a viscous Hamilton-Jacobi equation}, url = {https://m2.mtmt.hu/api/publication/23006078}, author = {Dabuleanu, S}, doi = {10.1007/s00028-004-0154-y}, journal-iso = {J EVOL EQU}, journal = {JOURNAL OF EVOLUTION EQUATIONS}, volume = {5}, unique-id = {23006078}, issn = {1424-3199}, year = {2005}, eissn = {1424-3202}, pages = {35-60} } @article{MTMT:23006079, title = {The Cauchy problem for u(t)=Delta u+vertical bar del u vertical bar(q), large-time behaviour}, url = {https://m2.mtmt.hu/api/publication/23006079}, author = {Gilding, BH}, doi = {10.1016/j.matpur.2004.11.003}, journal-iso = {J MATH PURE APPL}, journal = {JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES}, volume = {84}, unique-id = {23006079}, issn = {0021-7824}, year = {2005}, eissn = {1776-3371}, pages = {753-785} } @article{MTMT:23006080, title = {Optimal growth rates for a viscous Hamilton-Jacobi equation}, url = {https://m2.mtmt.hu/api/publication/23006080}, author = {Laurencot, P and Souplet, P}, doi = {10.1007/s00028-004-0181-8}, journal-iso = {J EVOL EQU}, journal = {JOURNAL OF EVOLUTION EQUATIONS}, volume = {5}, unique-id = {23006080}, issn = {1424-3199}, year = {2005}, eissn = {1424-3202}, pages = {123-135} } @article{MTMT:23006084, title = {Asymptotic profiles of solutions to convection-diffusion equations}, url = {https://m2.mtmt.hu/api/publication/23006084}, author = {Benachour, S and Karch, G and Laurencot, P}, doi = {10.1016/j.crma.2004.01.001}, journal-iso = {CR MATH}, journal = {COMPTES RENDUS MATHEMATIQUE}, volume = {338}, unique-id = {23006084}, issn = {1631-073X}, year = {2004}, eissn = {1778-3569}, pages = {369-374} } @article{MTMT:23006083, title = {Asymptotic profiles of solutions to viscous Hamilton-Jacobi equations}, url = {https://m2.mtmt.hu/api/publication/23006083}, author = {Benachour, S and Karch, G and Laurencot, P}, doi = {10.1016/j.matpur.2004.03.002}, journal-iso = {J MATH PURE APPL}, journal = {JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES}, volume = {83}, unique-id = {23006083}, issn = {0021-7824}, year = {2004}, eissn = {1776-3371}, pages = {1275-1308} } @article{MTMT:23006082, title = {Blow-up of positive solutions for a family of nonlinear parabolic equations in general domain in R-N}, url = {https://m2.mtmt.hu/api/publication/23006082}, author = {Hesaaraki, M and Moameni, A}, doi = {10.1307/mmj/1091112081}, journal-iso = {MICH MATH J}, journal = {MICHIGAN MATHEMATICAL JOURNAL}, volume = {52}, unique-id = {23006082}, issn = {0026-2285}, year = {2004}, eissn = {1945-2365}, pages = {375-389} }