DMS Stochastic Analysis Seminar

Time: Aug 23, 2022 (02:30 PM)
Location: 326 Parker Hall


Speaker: Le Chen

Title: Matching moment lower bounds for stochastic wave equation

Abstract: The one-dimensional stochastic wave equation with multiplicative space-time white noise has been studied as early as in the Walsh notes in 1980's. The upper bounds for the moment Lyapunov exponents were known in the literature, while to obtain the matching lower bounds has been an open problem for a while. In this talk, we will present a recent joint work (arXiv:2206.10069) with Yuhui Guo and Jian Song from Shandong University, China, where we obtained these matching lower bounds.