On a high-dimensional nonlinear stochastic partial differential equation
Probability
2011-04-29 v1
Abstract
In this paper we investigate a nonlinear stochastic partial differential equation (spde in short) perturbed by a space-correlated Gaussian noise in arbitrary dimension , with a non-Lipschitz coefficient noisy term. The equation studied coincides in one dimension with the stochastic Burgers equation. Existence of a weak solution is established through an approximation procedure.
Keywords
Cite
@article{arxiv.1104.5416,
title = {On a high-dimensional nonlinear stochastic partial differential equation},
author = {Lahcen Boulanba and Mohamed Mellouk},
journal= {arXiv preprint arXiv:1104.5416},
year = {2011}
}