Refined convex Sobolev inequalities

DOI10.1016/j.jfa.2005.05.003zbMath1087.35018OpenAlexW2169194404MaRDI QIDQ2566086

Jean Dolbeault, Anton Arnold

Publication date: 22 September 2005

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://basepub.dauphine.fr/handle/123456789/6833

zbMATH Keywords

logarithmic Sobolev inequalityPoincaré inequalityentropy methodHolley-Strook-type perturbations

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) A priori estimates in context of PDEs (35B45) Inequalities involving derivatives and differential and integral operators (26D10)

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Cites Work

• Superadditivity of Fisher's information and logarithmic Sobolev inequalities
• On an integral criterion for hypercontractivity of diffusion semigroups and extremal functions
• Logarithmic Sobolev inequalities and stochastic Ising models
• Entropies and equilibria of many-particle systems: an essay on recent research
• ON CONVEX SOBOLEV INEQUALITIES AND THE RATE OF CONVERGENCE TO EQUILIBRIUM FOR FOKKER-PLANCK TYPE EQUATIONS
• A Generalized Poincare Inequality for Gaussian Measures
• Logarithmic Sobolev Inequalities
• Sur l'inégalité logarithmique de Sobolev
• The geometry of Markov diffusion generators
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