题目： Nonlinear fractional stochastic heat equation with rough noise in space
报告人：刘俊峰 （副教授） 南京审计大学
摘要: In this talk we consider a class of nonlinear stochastic heat-type equation with a nonlocal fractional differential operator in (1+1)-dimension. This stochastic partial differential equation is driven by a Gaussian noise which is white in time and behaves as the fractional Brownian motion with Hurst index H less than 1/2. Under some mild assumptions, we prove the existence and uniqueness of the mild solution in some function spaces. Along the way, we show that the second moment of the solution grows exponentially with time.