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arXiv:2112.02785 [math.PR]AbstractReferencesReviewsResources

The Large Deviation of Semilinear Stochastic Partial Differential Equation Driven by Brownian Sheet

Qiyong Cao, Hongjun Gao

Published 2021-12-06, updated 2023-01-09Version 2

We prove the the large deviation principle(LDP) for the law of the one-dimensional semilinear stochastic partial differential equations driven by nonlinear multiplicative noise. Firstly, combining the energy estimate and approximation procedure, we obtain the existence of global solution. Then the large deviation principle is obtained via weak convergence method.

Categories: math.PR
Subjects: 60H15, 35R30
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