Moderate deviation principle for stochastic reaction-diffusion systems with multiplicative noise and non-Lipschitz reaction
نویسندگان
چکیده
In this article, we obtain a central limit theorem and prove moderate deviation principle for stochastic reaction-diffusion systems with multiplicative noise non-Lipschitz reaction term.
منابع مشابه
Stochastic reaction - diffusion systems with multiplicative noise and non - Lipschitz reaction term
We study existence and uniqueness of a mild solution in the space of continuous functions and existence of an invariant measure for a class of reaction-diffusion systems on bounded domains of R , perturbed by a multiplicative noise. The reaction term is assumed to have polynomial growth and to be locally Lipschitz-continuous and monotone. The noise is white in space and time if d = 1 and colour...
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ژورنال
عنوان ژورنال: Statistical theory and related fields
سال: 2022
ISSN: ['2475-4269', '2475-4277']
DOI: https://doi.org/10.1080/24754269.2021.1963183