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Fractional stochastic wave equation driven by a Gaussian noise rough in space
时间  Datetime
2019-07-25 16:00 — 17:00 
地点  Venue
temp8
报告人  Speaker
宋健
单位  Affiliation
山东大学
邀请人  Host
陈昕
报告摘要  Abstract
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