On a stochastic partial differential equation with non-local diffusion
偏微分方程分析
2009-11-19 v1 概率论
摘要
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.
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引用
@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}
}