\(\omega\)-limit sets for porous medium equation with initial data in some weighted spaces

DOI10.3934/dcdsb.2013.18.223zbMath1272.35041OpenAlexW2318503555MaRDI QIDQ1943293

Jingxue Yin, Liangwei Wang, Chunhua Jin

Publication date: 19 March 2013

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2013.18.223

zbMATH Keywords

rescaled initial datarescaled solutions

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Degenerate parabolic equations (35K65) Initial value problems for second-order parabolic equations (35K15)

Related Items (7)

Remark on the Cauchy problem for the evolution \(p\)-Laplacian equation ⋮ Proper spaces for the asymptotic convergence of solutions of porous medium equation ⋮ Complicated asymptotic behavior exponents for solutions of the evolution \(p\)-Laplacian equation with absorption ⋮ Complicated asymptotic behavior of solutions for porous medium equation in unbounded space ⋮ Complicated asymptotic behavior of solutions for the fourth-order parabolic equation with absorption ⋮ The heat semigroup on sectorial domains, highly singular initial values and applications ⋮ Complicated asymptotic behavior of solutions for the Cauchy problem of Cahn-Hilliard equation

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