On a stochastic partial differential equation with non-local diffusion
Analysis of PDEs
2009-11-19 v1 Probability
Abstract
In this paper, we prove existence, uniqueness and regularity for a class of stochastic partial differential equations with a fractional Laplacian driven by a space-time white noise in dimension one. The equation we consider may also include a reaction term.
Keywords
Cite
@article{arxiv.math/0510107,
title = {On a stochastic partial differential equation with non-local diffusion},
author = {Pascal Azerad and Mohamed Mellouk},
journal= {arXiv preprint arXiv:math/0510107},
year = {2009}
}