Transportation cost inequalities for stochastic reaction-diffusion equations with Lévy noises and non-Lipschitz reaction terms

Abstract

For stochastic reaction-diffusion equations with Lévy noises and non-Lipschitz reaction terms, we prove that $W_{1}H$ transportation cost inequalities hold for their invariant probability measures and for their process-level laws on the path space with respect to the $L^1$-metric. The proofs are based on the Galerkin approximations.

16 pages

References in corpus (1)

• Quadratic Transportation Cost Inequalities Under Uniform Distance For Stochastic Reaction Diffusion Equations Driven by Multiplicative Space-Time White Noise