Fractional stochastic Burgers-Type Equation in H\"older space -wellposedness and approximations-
Analysis of PDEs
2017-12-29 v1
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.
Keywords
Cite
@article{arxiv.1712.09515,
title = {Fractional stochastic Burgers-Type Equation in H\"older space -wellposedness and approximations-},
author = {Zineb Arab and Latifa Debbi},
journal= {arXiv preprint arXiv:1712.09515},
year = {2017}
}