Decay and periodic solution for semilinear parabolic equations with a noninvertible linear operator

DOI10.1016/0362-546X(88)90067-3zbMath0705.35015OpenAlexW2041753796MaRDI QIDQ3485264

Mitsuhiro Nakao

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1016/0362-546x(88)90067-3

zbMATH Keywords

decayDirichlet boundary conditionsemilinear parabolic equationfirst eigenvalue

Mathematics Subject Classification ID

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

Cites Work

• Periodic solutions of some nonlinear degenerate parabolic equations
• Geometric theory of semilinear parabolic equations
• Energy decay for the wave equation with a degenerate dissipative term
• L^PBounds of solutions of reaction-diffusion equations
• Comportement asymptotique de la solution d'une equation d'evolution semi-lineaire de la chaleur
• Periodic solutions of the first boundary problem for parabolic equations

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