@article{MTMT:31416380,
	title = {Pointwise Gradient Estimates in Multi-dimensional Slow Diffusion Equations with a Singular Quenching Term},
	url = {https://m2.mtmt.hu/api/publication/31416380},
	author = {Nguyen Anh Dao and Ildefonso Diaz, Jesus and Quan Ba Hong Nguyen},
	doi = {10.1515/ans-2020-2076},
	journal-iso = {ADV NONLINEAR STUD},
	journal = {ADVANCED NONLINEAR STUDIES},
	volume = {20},
	unique-id = {31416380},
	issn = {1536-1365},
	abstract = {We consider the high-dimensional equation partial derivative(t)u -Delta u(m) + u(-beta)chi({u>0}) = 0, extending the mathematical treatment made in 1992 by B. Kawohl and R. Kersner for the one-dimensional case. Besides the existence of a very weak solution u is an element of C([0, T]; L-delta(1)(Omega)), with u(-beta)chi({u>0}) is an element of L-1 ((0, T) x Omega), delta(x) = d(x, partial derivative Omega), we prove some pointwise gradient estimates for a certain range of the dimension N, m >= 1 and beta is an element of (0, m), mainly when the absorption dominates over the diffusion (1 <= m < 2 + beta ). In particular, a new kind of universal gradient estimate is proved when m + beta <= 2. Several qualitative properties (such as the finite time quenching phenomena and the finite speed of propagation) and the study of the Cauchy problem are also considered.},
	keywords = {Free boundary; Singular Absorption and Nonlinear Diffusion Equations; Pointwise Gradient Estimates; Quenching Phenomenon},
	year = {2020},
	eissn = {2169-0375},
	pages = {477-502}
}

@article{MTMT:25746542,
	title = {Propagation profile of support for evolution p-Laplacian with convection in half space},
	url = {https://m2.mtmt.hu/api/publication/25746542},
	author = {Jin, Chunhua and Yin, Jingxue and Zheng, Sining},
	doi = {10.1016/j.jmaa.2014.02.064},
	journal-iso = {J MATH ANAL APPL},
	journal = {JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS},
	volume = {416},
	unique-id = {25746542},
	issn = {0022-247X},
	year = {2014},
	eissn = {1096-0813},
	pages = {710-723}
}

@article{MTMT:21683395,
	title = {Infinite-time quenching in a fast diffusion equation with strong absorption},
	url = {https://m2.mtmt.hu/api/publication/21683395},
	author = {Winkler, M},
	doi = {10.1007/s00030-008-0052-z},
	journal-iso = {NODEA-NONLINEAR DIFF},
	journal = {NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS},
	volume = {16},
	unique-id = {21683395},
	issn = {1021-9722},
	year = {2009},
	eissn = {1420-9004},
	pages = {41-61}
}

@article{MTMT:25727647,
	title = {Nonuniqueness in the quenching problem},
	url = {https://m2.mtmt.hu/api/publication/25727647},
	author = {Winkler, Michael},
	doi = {10.1007/s00208-007-0123-1},
	journal-iso = {MATH ANN},
	journal = {MATHEMATISCHE ANNALEN},
	volume = {339},
	unique-id = {25727647},
	issn = {0025-5831},
	year = {2007},
	eissn = {1432-1807},
	pages = {559-597}
}