Special Session 168: Stochastic Analysis and Large Scale Interacting Systems

Convergence rate of lattice approximations for reflected stochastic partial differential equation
BIN XIE
Shinshu University
Japan
Co-Author(s):    
Abstract:
We investigate the convergence rate of a lattice approximation scheme for a reflected stochastic partial differential equation (SPDE) driven by Gaussian space--time white noise, which is viewed as an infinite-dimensional Skorohod problem. We establish the rate of $L^p(\Omega)$-convergence for the approximations under Lipschitz continuous condition. Our approach is based on a detailed analysis of the corresponding deterministic parabolic obstacle problem via penalization methods.