摘要
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.
For stochastic reaction-diffusion equations with Lévy noises and non-Lipschitz reaction terms, we prove that W1H transportation cost inequalities hold for their invariant probability measures and for their process-level laws on the path space with respect to the L1-metric. The proofs are based on the Galerkin approximations.
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)
