Intermediate asymptotics in \(L^{1}\) for general nonlinear diffusion equations

DOI10.1016/S0893-9659(01)00100-8zbMath1011.35019WikidataQ128039980 ScholiaQ128039980MaRDI QIDQ1861747

Piotr Biler, Jean Dolbeault, Maria J. Esteban

Publication date: 10 March 2003

Published in: Applied Mathematics Letters (Search for Journal in Brave)

zbMATH Keywords

relative entropy methodsgeneralized Sobolev inequalitiesnonlinear diffusions in \(L^1\)

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Reaction-diffusion equations (35K57)

Related Items (3)

Nonlocal filtration equations with rough kernels ⋮ Best constants for Gagliardo-Nirenberg inequalities and applications to nonlinear diffusions. ⋮ Intermediate asymptotics beyond homogeneity and self-similarity: long time behavior for \(u_t = \Delta\varphi(u)\)

Cites Work

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• THE GEOMETRY OF DISSIPATIVE EVOLUTION EQUATIONS: THE POROUS MEDIUM EQUATION
• LARGE TIME ASYMPTOTICS OF NONLINEAR DRIFT-DIFFUSION SYSTEMS WITH POISSON COUPLING
• Sur l'inégalité logarithmique de Sobolev
• Asymptotic L^1-decay of solutions of the porous medium equation to self-similarity
• Entropy dissipation methods for degenerate parabolic problems and generalized Sobolev inequalities

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