论文信息 - The Large Deviation of Semilinear Stochastic Partial Differential Equation Driven by Brownian Sheet

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

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. 2020 Mathematics Subject Classification: 60H15; 35R30

Hongjun Gao | Qiyong Cao

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