Stabilization of solutions of the equation

DOI10.1016/0362-546X(82)90054-2zbMath0488.35045OpenAlexW2083411262MaRDI QIDQ3949397

Nicholas D. Alikakos, Rouben Rostamian

Publication date: 1982

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(82)90054-2

zbMATH Keywords

nonnegative solutionsasymptotic estimatesdominant diffusionhomogeneization estimateinteraction of nonlinearities

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Stability in context of PDEs (35B35) Degenerate parabolic equations (35K65)

Related Items

The asymptotic profile of solutions of degenerate diffusion equations, Asymptotic exponential stability in quasilinear parabolic equations, Some existence and nonexistence theorems for solutions of degenerate parabolic equations, Global existence and nonexistence for a strongly coupled parabolic system with nonlinear boundary conditions, Singular reaction diffusion equations of porous medium type, Large time behavior and stability of equilibria of degenerate parabolic equations, On the asymptotic behavior of solutions to a class of degenerate parabolic problems of Neumann type

Cites Work

• Semi-linear second-order elliptic equations in \(L^1\)
• Comportement asymptotique de la solution d'une equation d'evolution semi-lineaire de la chaleur
• Asymptotic expansions for the solutions of certain nonlinear parabolic problems II
• Large Time Behavior of Solutions of Systems of Nonlinear Reaction-Diffusion Equations
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