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arxiv: math/0510107 · v1 · submitted 2005-10-05 · 🧮 math.AP · math.PR

On a stochastic partial differential equation with non-local diffusion

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keywords differentialequationpartialstochasticclassconsiderdiffusiondimension
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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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