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On a stochastic partial differential equation with non-local diffusion

Pascal Azerad·Mohamed Mellouk
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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.

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Pascal Azerad, Mohamed Mellouk. 2005-10-05. On a stochastic partial differential equation with non-local diffusion. https://doi.org/10.1007/s11118-007-9052-6

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