Asymptotic behavior of solutions for nonlinear parabolic operators with natural growth term and measure data

Abdellaoui, M. ✉

English Scientific Article (Journal Article)
  • SJR Scopus - Applied Mathematics: Q2
    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.
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    2021-12-01 21:56