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arXiv · 2112.02785

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

Qiyong Cao·Hongjun Gao
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Abstract

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.

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Qiyong Cao, Hongjun Gao. 2021-12-06. The Large Deviation of Semilinear Stochastic Partial Differential Equation Driven by Brownian Sheet. https://doi.org/10.1007/s40304-023-00340-y

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