On a stochastic partial differential equation with non-local diffusion

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

2005-10-05

arxiv.org/abs/math/0510107v1

Potential Analysis 27 (2007) 183--197

Mathematics

Analysis of PDEs

Scientific paper

10.1007/s11118-007-9052-6

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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