报告题目：Rough噪声驱动的随机波动方程

报告时间：2024-07-04   15:30-16:30

报  告 人：胡耀忠  教授 (University of Alberta)

报告地点：理学院东北楼二楼报告厅（209）

报告摘要: I will present a joint work with Shuhui Liu and Xiong Wang about the existence and uniqueness of the strong solution to one spatial dimension stochastic wave equation(∂^2 u(t,x))/(∂t^2 )=(∂^2 u(t,x))/(∂x^2 )+σ(t,x,u(t,x)) W ̇(t,x) assuming σ(t,x,0)=0, where W ̇ is a mean zero Gaussian noise which is white in time and fractional in space with Hurst parameter H∈(1/4,1/2). The idea is to find a suitable decomposition of the wave Green's function which is similar to the to semigroup decomposition of the heat kernel.