Speaker: Bixiang Wang, professor and doctoral supervisor, New Mexico Institute of Mining and Technology

Date: June 29, 2024

Time: 9:00-10:00

Location: Tencent Meeting: 654 708 120

Sponsor: School of Mathematics, Shandong University

Abstract:

In this talk, we discuss the large deviation principle of the non-local fractional stochastic reaction-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 a control 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.

For more information, please visit:

https://view.sdu.edu.cn/info/1020/193087.htm