For stochastic reaction-diffusion equations with Levy noises and non-Lipschitz reaction terms,we prove that W\H transportation cost inequalities hold for their invariant probability measures and for their process-leve...For stochastic reaction-diffusion equations with Levy noises and non-Lipschitz reaction terms,we prove that W\H transportation cost inequalities hold for their invariant probability measures and for their process-level laws on the path space with respect to the L1-metrie.The proofs are based on the Galerkin approximations.展开更多
In this paper, we study some functional inequalities （such as Poincar@ inequality, loga- rithmic Sobolev inequality, generalized Cheeger isoperimetric inequality, transportation-information inequality and transportat...In this paper, we study some functional inequalities （such as Poincar@ inequality, loga- rithmic Sobolev inequality, generalized Cheeger isoperimetric inequality, transportation-information inequality and transportation-entropy inequality） for reversible nearest-neighbor Markov processes on connected finite graphs by means of （random） path method. We provide estimates of the involved constants.展开更多
基金supported by National Natural Science Foundation of China(Grant Nos.11571043,11431014 and 11871008)supported by National Natural Science Foundation of China(Grant Nos.11871382 and 11671076)
文摘For stochastic reaction-diffusion equations with Levy noises and non-Lipschitz reaction terms,we prove that W\H transportation cost inequalities hold for their invariant probability measures and for their process-level laws on the path space with respect to the L1-metrie.The proofs are based on the Galerkin approximations.
基金Supported by NSFC(Grant Nos.11371283,11571043,11301498 and 11431014)985 Pro jects and the Fundamental Research Funds for the Central Universities
文摘In this paper, we study some functional inequalities （such as Poincar@ inequality, loga- rithmic Sobolev inequality, generalized Cheeger isoperimetric inequality, transportation-information inequality and transportation-entropy inequality） for reversible nearest-neighbor Markov processes on connected finite graphs by means of （random） path method. We provide estimates of the involved constants.
