On a stochastic partial differential equation with non-local diffusion

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.

Cited by in corpus (1)

• Large deviations for a fractional stochastic heat equation in spatial dimension ${\mathbb{R}}^d$ driven by a spatially correlated noise