Nonlinear diffusions, hypercontractivity and the optimal \(L^{p}\)-Euclidean logarithmic Sobolev inequality

DOI10.1016/j.jmaa.2003.10.009zbMath1058.35124OpenAlexW2056211610MaRDI QIDQ1827096

Ivan Gentil, Jean Dolbeault, Manuel A. del Pino

Publication date: 6 August 2004

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2003.10.009

zbMATH Keywords

entropyregularizationHamilton-Jacobi equationslarge deviations

Mathematics Subject Classification ID

Semigroups of nonlinear operators (47H20) Degenerate parabolic equations (35K65) A priori estimates in context of PDEs (35B45) Nonlinear evolution equations (47J35)

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