Fractional stochastic Burgers-Type Equation in Hölder space -wellposedness and approximations-

2017/12/27 by Arab, Zineb, Debbi, Latifa
#35R11 #58J65 #60H15 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1712.09515

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 Hölder 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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