Talagrand's T_2-Transportation Inequality and Log-Sobolev Inequality for Dissipative SPDEs and Applications to Reaction-Diffusion Equations

作     者：Liming WU Zhengliang ZHANG 

作者机构：Laboratoire de Mathématiques Appliquées CNRS-UMR 6620 Université Blaise Pascal 63177 Aubière France School of Mathematics and Statistics Wuhan University Wuhan 430072 China. School of Mathematics and Statistics Wuhan University Wuhan 430072 China. 

出 版 物：《Chinese Annals of Mathematics,Series B》 (数学年刊（B辑英文版）)

年 卷 期：2006年第27卷第3期

页      面：243-262页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：Project supported by the Yangtze Scholarship Program 

主　　题：Stochastic partial differential equations (SPDEs) Logarithmic Sobolev inequality Talagrand's transportation inequality Poincaré inequality 

摘      要：We establish Talagrand＇s T2-transportation inequalities for infinite dimensional dissipative diffusions with sharp constants, through Galerkin type＇s approximations and the known results in the finite dimensional case. Furthermore in the additive noise case we prove also logarithmic Sobolev inequalities with sharp constants. Applications to Reaction- Diffusion equations are provided.