Abstract
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.
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We sincerely thank the referees for helpful comments and remarks.
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The first author is supported by National Natural Science Foundation of China (Grant Nos. 11571043, 11431014 and 11871008); the second author is supported by National Natural Science Foundation of China (Grant Nos. 11871382 and 11671076)
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Ma, Y.T., Wang, R. Transportation Cost Inequalities for Stochastic Reaction-Diffusion Equations with Lévy Noises and Non-Lipschitz Reaction Terms. Acta. Math. Sin.-English Ser. 36, 121–136 (2020). https://doi.org/10.1007/s10114-020-9031-z
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DOI: https://doi.org/10.1007/s10114-020-9031-z