EVENT DETAILS AND ABSTRACT

Title: Holder-Sobolev Regularity of Solutions For a Class of Stochastic Partial Differential Equations
Speaker: Professor Pierre Villermott
Speaker Info: Institut Elie Carton, Universite Henri Poincare, Nancy, France
Brief Description:
Special Note:
Abstract:

In this talk we present some recent results regarding the existence, the uniqueness, the equivalence and the space-time regularity properties of various notions of solution to a class of non-autonomous, semilinear, parabolic stochastic partial differential equations defined on a smooth, bounded, convex domain of Euclidean space and driven by an infinite-dimensional noise. Many of the estimates we need to prove our results are based on pointwise heat-kernel estimates for the parabolic Green's function associated with the principal part of the equations.