Transportation cost inequalities for stochastic reaction-diffusion equations with L\'evy noises and non-Lipschitz reaction terms
Abstract
For stochastic reaction-diffusion equations with L\'evy 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.
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