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arXiv · 1712.09515

Fractional stochastic Burgers-Type Equation in H\"older space -wellposedness and approximations-

Zineb Arab·Latifa Debbi
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Abstract

In this work, we use the spectral Galerkin method to prove the existence of a pathwise unique mild solution of a fractional stochastic partial differential equation of Burgers type in a H\"older space. We get the temporal regularity and using a combination of Galerkin and exponential-Euler methods, we obtain a fully discretization scheme of the solution. Moreover, we calculate the rates of convergence for both approximations (Galerkin and fully discretization) with respect to time and to space.

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Zineb Arab, Latifa Debbi. 2017-12-27. Fractional stochastic Burgers-Type Equation in H\"older space -wellposedness and approximations-. https://arxiv.org/abs/1712.09515

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