Improved intermediate asymptotics for the heat equation

Jean-Philippe Bartier, Adrien Blanchet, Jean Dolbeault, Miguel Escobedo

Type: Article

Publication Date: 2010-08-11

Citations: 25

DOI: https://doi.org/10.1016/j.aml.2010.08.020

View Publication

Download PDF

Locations

Toulouse Capitole Publications (University Toulouse 1 Capitole) - View - PDF
HAL (Le Centre pour la Communication Scientifique Directe) - View - PDF
DataCite API - View
Applied Mathematics Letters - View

Similar Works

Action	Title	Year	Authors
+	Improved intermediate asymptotics for the heat equation	2009	Jean-Philippe Bartier Adrien Blanchet Jean Dolbeault Miguel Escobedo
+	On Fast-Diffusion Equations with Infinite Equilibrium Entropy and Finite Equilibrium Mass	2003	Claudia Lederman Peter A. Markowich
+	Improved interpolation inequalities, relative entropy and fast diffusion equations	2013	Jean Dolbeault Giuseppe Toscani
+	Improved interpolation inequalities, relative entropy and fast diffusion equations	2011	Jean Dolbeault Giuseppe Toscani
+	Improved interpolation inequalities, relative entropy and fast diffusion equations	2011	Jean Dolbeault Giuseppe Toscani
+ PDF Chat	φ-Entropies: convexity, coercivity and hypocoercivity for Fokker–Planck and kinetic Fokker–Planck equations	2018	Jean Dolbeault Xingyu Li
+	L<sup>1</sup> and L<sup>∞</sup> intermediate asymptotics for scalar conservation laws	2005	Jean Dolbeault Miguel Escobedo
+	Long-time behaviour of non-local in time Fokker-Planck equations via the entropy method	2017	Jukka Kemppainen Rico Zacher
+	Long-time behaviour of non-local in time Fokker-Planck equations via the entropy method	2017	Jukka Kemppainen Rico Zacher
+	Quantitative De Giorgi methods in kinetic theory for non-local operators	2022	Amélie Loher
+	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
+ PDF Chat	Stability in Gagliardo-Nirenberg-Sobolev inequalities: flows, regularity and the entropy method	2022	Matteo Bonforte Jean Dolbeault Bruno Nazaret Nikita Simonov
+	Stability in Gagliardo-Nirenberg-Sobolev inequalities: flows, regularity and the entropy method	2020	Matteo Bonforte Jean Dolbeault Bruno Nazaret Nikita Simonov
+	$$\mathrm L^2$$ Hypocoercivity Methods for Kinetic Fokker-Planck Equations with Factorised Gibbs States	2024	Émeric Bouin Jean Dolbeault Luca Ziviani
+	Large-time behavior in non-symmetric Fokker-Planck equations	2015	Franz Achleitner Anton Arnold Dominik Stürzer
+ PDF Chat	Phi-entropies for Fokker-Planck and kinetic Fokker-Planck equations	2017	Jean Dolbeault Xingyu Li
+	Convergence to equilibrium in Wasserstein distance for Fokker–Planck equations	2012	François Bolley Ivan Gentil Arnaud Guillin
+ PDF Chat	Constructive stability results in interpolation inequalities and explicit improvements of decay rates of fast diffusion equations	2022	Matteo Bonforte Jean Dolbeault Bruno Nazaret Nikita Simonov
+	Improved interpolation inequalities, relative entropy and fast diusion equations	2012	Jean Dolbeault Giuseppe Toscani
+	$\mathrm L^2$ Hypocoercivity methods for kinetic Fokker-Planck equations with factorised Gibbs states	2023	Émeric Bouin Jean Dolbeault Luca Ziviani

Works That Cite This (23)

Action	Title	Year	Authors
+ PDF Chat	Hypocoercivity without confinement	2020	Émeric Bouin Jean Dolbeault Stéphane Mischler Clément Mouhot Christian Schmeiser
+	Fast diffusion equations: Matching large time asymptotics by relative entropy methods	2011	Jean Dolbeault Giuseppe Toscani
+ PDF Chat	On Rosenau-type approximations to fractional diffusion equations	2015	Giulia Furioli Ada Pulvirenti Elide Terraneo Giuseppe Toscani
+ PDF Chat	Improved Poincaré inequalities	2012	Jean Dolbeault Bruno Volzone
+ PDF Chat	Exponential Stability of Slowly Decaying Solutions to the Kinetic-Fokker-Planck Equation	2016	S. Mischler Clément Mouhot
+ PDF Chat	A Strengthened Entropy Power Inequality for Log-Concave Densities	2015	Giuseppe Toscani
+ PDF Chat	Heat Equation and Convolution Inequalities	2014	Giuseppe Toscani
+ PDF Chat	Improved Poincaré inequalities	2012	Jean Dolbeault Bruno Volzone
+	Hypocoercivity without confinement	2017	Émeric Bouin Jean Dolbeault Stéphane Mischler Clément Mouhot Christian Schmeiser
+	Exponential stability of slowly decaying solutions to the kinetic Fokker-Planck equation	2014	S. Mischler Clément Mouhot

Works Cited by This (17)

Action	Title	Year	Authors
+ PDF Chat	A QUALITATIVE STUDY OF LINEAR DRIFT-DIFFUSION EQUATIONS WITH TIME-DEPENDENT OR DEGENERATE COEFFICIENTS	2007	Jean-Philippe Bartier Jean Dolbeault Reinhard Illner Michał Kowalczyk
+	Higher Order Approximations in the Heat Equation and the Truncated Moment Problem	2009	Yong Jung Kim Wei-Ming Ni
+ PDF Chat	Hardy–Poincaré inequalities and applications to nonlinear diffusions	2007	Adrien Blanchet Matteo Bonforte Jean Dolbeault Gabriele Grillo Juan Luís Vázquez
+	Entropy-energy inequalities and improved convergence rates for nonlinear parabolic equations	2006	José A. Carrillo Jean Dolbeault Ivan Gentil Ansgar Jüngel
+	Best constants for Gagliardo–Nirenberg inequalities and applications to nonlinear diffusions	2002	Manuel del Pino Jean Dolbeault
+	Sur l'inégalité logarithmique de Sobolev	1997	Giuseppe Toscani
+ PDF Chat	Nonlinear Stability in <i>L<sup>p</sup></i> for a Confined System of Charged Particles	2002	María J. Cáceres José A. Carrillo Jean Dolbeault
+	Functional Inequalities for Empty Essential Spectrum	2000	Feng‐Yu Wang
+	On generalized Csiszár-Kullback inequalities	2000	Anton Arnold Peter A. Markowich Giuseppe Toscani Andreas Unterreiter
+	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