Talagrand's T2-Transportation Inequality and Log-Sobolev Inequality for Dissipative SPDEs and A

• 作 者: Liming WU Zhengliang ZHANG
• 机 构: Laboratoire de Mathématiques Appliquées, School of Mathematics and Statistics
• 出 处: 数学年刊B辑
• 发表日期: 2004年期
• 关键词: Stochastic partial differential equations (SPDEs) Logarithmic Sobolev inequality

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 ReactionDiffusion equations are provided.