%0 Journal Article
%T On a stochastic Burgers equation with Dirichlet boundary conditions
%A Ekaterina T. Kolkovska
%J International Journal of Mathematics and Mathematical Sciences
%D 2003
%I Hindawi Publishing Corporation
%R 10.1155/s0161171203211121
%X We consider the one-dimensional Burgers equation perturbed by a white noise term with Dirichlet boundary conditions and a non-Lipschitz coefficient. We obtain existence of a weak solution proving tightness for a sequence of polygonal approximations for the equation and solving a martingale problem for the weak limit.
%U http://www.hindawi.com/journals/ijmms/2003/171794/abs/