Improved interpolation inequalities, relative entropy and fast diffusion equations

Jean Dolbeault, Giuseppe Toscani

Type: Preprint

Publication Date: 2011-10-24

Citations: 2

Locations

arXiv (Cornell University) - View

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Works Cited by This (9)

Action	Title	Year	Authors
+	Sobolev Inequalities with Remainder Terms	2002	Haı̈m Brezis Élliott H. Lieb
+	A Lyapunov functional for the evolution of solutions to the porous medium equation to self-similarity. I	1984	William I. Newman
+	Best constants for Gagliardo–Nirenberg inequalities and applications to nonlinear diffusions	2002	Manuel del Pino Jean Dolbeault
+	A note on the Sobolev inequality	1991	Gabriele Bianchi Henrik Egnell
+ PDF Chat	Best constant in Sobolev inequality	1976	Giorgio Talenti
+ PDF Chat	The sharp Sobolev inequality in quantitative form	2009	Andrea Cianchi Nicola Fusco Francesco Maggi Aldo Pratelli
+	ON CONVEX SOBOLEV INEQUALITIES AND THE RATE OF CONVERGENCE TO EQUILIBRIUM FOR FOKKER-PLANCK TYPE EQUATIONS	2001	Anton Arnold Peter A. Markowich Giuseppe Toscani Andreas Unterreiter
+	Sharp rates of decay of solutions to the nonlinear fast diffusion equation via functional inequalities	2010	Matteo Bonforte Jean Dolbeault Gabriele Grillo Juan Luís Vázquez
+	Logarithmic Sobolev Inequalities	1975	Leonard Gross