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On a Stochastic Partial Differential Equation with Non-local Diffusion |
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| Authors: | Pascal Azerad Mohamed Mellouk |
| Institution: | (1) Institut de Mathématiques et de Modélisation de Montpellier, UMR CNRS 5149, Université Montpellier 2, cc 51, Place Eugène Bataillon, 34095 Montpellier Cedex 5, France |
| 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. |
| Keywords: | Fractional derivative operator Stochastic partial differential equation Space– time white noise Nonlocal diffusion Fourier transform |
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