Intermediate asymptotics in L1 for general nonlinear diffusion equations

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2002 France English Publisher:Elsevier BVJournal:Applied Mathematics Letters, volume 15, pages 101-107 (issn: 0893-9659,

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Authors: Piotr Biler; Jean Dolbeault; Maria J. Esteban;

doi: 10.1016/s0893-9659(01)00100-8 , 10.5281/zenodo.3660563 , 10.5281/zenodo.56783 , 10.5281/zenodo.3660562

Intermediate asymptotics in L1 for general nonlinear diffusion equations

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Abstract

We prove intermediate asymptotics results in L1 for general nonlinear diffusion equa- tions which behave like power laws at the origin using relative entropy methods and generalized Sobolev inequalities.

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France

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Keywords

Asymptotic behavior of solutions to PDEs, Applied Mathematics, relative entropy methods, Analyse, generalized Sobolev inequalities, 510, Reaction-diffusion equations, 515, Generalized Sobolev inequalities, Relative entropy methods, Nonlinear parabolic equations, Intermediate asymptotics, nonlinear diffusions in \(L^1\), Nonlinear diffusions in L1

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