Large time behavior of solutions to degenerate parabolic equations with absorption. (English) Zbl 0980.35077

Winkler, Michael

NoDEA, Nonlinear Differ. Equ. Appl. 8, No. 3, 343-361 (2001).

Author’s abstract: We study existence, uniqueness, and large time behavior of positive classical solutions of the Dirichlet initial-boundary value problem for the equation \[ u_t=u^p\Delta u-u^q \] with \(p,q\geq 1\). Decay rates and asymptotic profiles are discussed.

Reviewer: M.Fila (Bratislava)

MSC:

35K65	Degenerate parabolic equations
35B40	Asymptotic behavior of solutions to PDEs
35K60	Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations

Keywords:

positive classical solutions; Dirichlet initial-boundary value problem; decay rates; asymptotic profiles