Special Session 23: 

Parabolic Partial Differential Equations with rough Dirichlet boundary conditions

Beniamin Goldys
Sydney University
Australia
Co-Author(s):    Szymon Peszat
Abstract:
We will consider partial differential equations of parabolic type with very rough Dirichlet boundary conditions, including the space-time white noise. We will reformulate the equation as a stochastic evolution equation in an $L^p$-space with non-standard weight.