科学研究
报告题目:

Fractional stochastic wave equation driven by a Gaussian noise rough in space

报告人:

宋健 教授(山东大学)

报告时间:

报告地点:

2021欧洲杯买球平台官网东北楼四楼报告厅(404)

报告摘要:

In this article, we consider fractional stochastic wave equations on R driven by a multiplicative Gaussian noise which is white/colored in time and has the covariance of a fractional Brownian motion with Hurst parameter H ∈ ( 1 /4, 1/2 ) in space. We prove the existence and uniqueness of the mild Skorohod solution, establish lower and upper bounds for the p-th moment of the solution for all p ≥ 2, and obtain the Ho ̈lder continuity in time and space variables for the solution. This is a joint work with Xiaoming Song and Fangjun Xu.