Asymptotic behavior in degenerate parabolic fully nonlinear equations and its application to elliptic eigenvalue problems

DOI10.1016/j.jde.2013.01.015zbMath1264.35044arXiv1202.0218OpenAlexW2962854482MaRDI QIDQ1945856

Soojung Kim, Ki-Ahm Lee

Publication date: 17 April 2013

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1202.0218

zbMATH Keywords

heat equationDirichlet boundary conditionporous medium equationlarge time behaviorfully nonlinear elliptic eigenvalue problempositive initial datarenormalized limit

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Initial-boundary value problems for second-order parabolic equations (35K20) Degenerate parabolic equations (35K65)

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