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In this paper, we establish a central limit theorem (CLT) and the moderate deviation principles (MDP) for a class of semilinear stochastic partial differential equations driven by multiplicative noise on… Click to show full abstract
In this paper, we establish a central limit theorem (CLT) and the moderate deviation principles (MDP) for a class of semilinear stochastic partial differential equations driven by multiplicative noise on a bounded domain. The main results can be applied to stochastic partial differential equations of various types such as the stochastic Burgers equation and the reaction‐diffusion equations perturbed by space‐time white noise. The Garsia lemma is crucial to our results.
Keywords:
partial differential;
semilinear stochastic;
central limit;
stochastic partial;
limit theorem;
differential equations
Journal Title: Mathematical Methods in the Applied Sciences
Year Published: 2021
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Journal Title: Mathematical Methods in the Applied Sciences
Year Published: 2021
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!