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On a stochastic partial differential equation with non-local diffusion.
Journal article   Open access   Peer reviewed

On a stochastic partial differential equation with non-local diffusion.

Pascal Azerad and Mohamed Mellouk
Potential Analysis, Vol.27, pp.183--197
2007
DOI: https://doi.org/10.1007/s11118-007-9052-6

Abstract

Fractional derivative operator stochastic partial differential equation space--time white noise nonlocal diffusion Fourier transform MSC Primary: 60H15; Secondary: 35R60
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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