报告人：孙晓斌 博士，江苏师范大学
报告题目：Smoothness of the joint density for spatially homogeneous SPDEs
时间：12月10号（周六），上午10:00-11:00
地点：管研楼1518
摘要：This talk considers a general class of second order stochastic partial differential equations on R^d driven by a Gaussian noise which is white in time and has a homogeneous spatial covariance. Using the techniques of Malliavin calculus to derive the smoothness of the density of the solution at a fixed number of points (t,x_1), ..., (t,x_n), t>0, with some suitable regularity and non degeneracy assumptions. The strictly positivity of this density is also studied.
