Entropy-energy inequalities and improved convergence rates for nonlinear parabolic equations

DOI10.3934/dcdsb.2006.6.1027zbMath1113.35034OpenAlexW1985352692MaRDI QIDQ862122

Jean Dolbeault, Ivan Gentil, Ansgar Jüngel, José Antonio Carrillo

Publication date: 5 February 2007

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.2006.6.1027

zbMATH Keywords

entropyfast diffusion equationlogarithmic Sobolev inequalitylong-time behaviorPoincaré inequalityparabolic equationsporous media equationalgebraic decaySobolev estimatesthin film equationEntropy-entropy production methodhigher-order nonlinear PDEsone-dimensional torus

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Initial-boundary value problems for higher-order parabolic equations (35K35) Lubrication theory (76D08) Flows in porous media; filtration; seepage (76S05) A priori estimates in context of PDEs (35B45) Inequalities involving derivatives and differential and integral operators (26D10)

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