报告人：王碧祥 教授（美国新墨西哥矿业理工大学）

时间：2024年12月18日 10:00-

腾讯会议ID：462-176-210    会议链接：https://meeting.tencent.com/dm/EzQC5CvEyALn 

摘要：In this talk, we discuss the large deviation principle of the non-local fractional stochasticreaction-diffusion equations with a polynomial drift of arbitrary degree driven by multiplicative noise defined on unbounded domains. We first prove the strong convergence of the solutions of acontrol equation with respect to the weak topology of controls, and then show the convergence in distribution of the solutions of the stochastic equation when the noise intensity approaches zero. We finally establish the large deviations of the stochastic equation by the weak convergence method. The main difficulty of the paper is caused by the non-compactness of Sobolev embeddings on unbounded domains, and the idea of uniform tail-ends estimates is employed to circumvent the obstacle in order to obtain the tightness of distribution laws of the stochastic equation and the precompactness of the control equation.

邀请人: 周国立

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