Martingale and Weak Solutions for a Stochastic Nonlocal Burgers Equation on Bounded Intervals
Probability
2014-10-29 v1
Abstract
This work is about the existence of martingale solutions and weak solutions for a stochastic nonlocal Burgers equation on bounded intervals. The existence of a martingale solution is shown by using a Galerkin approximation, Prokhorov's theorem and Skorokhod's embedding theorem. The same Galerkin approximation also leads to the existence of weak solution for the corresponding deterministic nonlocal Burgers equation on a bounded domain.
Keywords
Cite
@article{arxiv.1410.7691,
title = {Martingale and Weak Solutions for a Stochastic Nonlocal Burgers Equation on Bounded Intervals},
author = {Guangying Lv and Jinqiao Duan},
journal= {arXiv preprint arXiv:1410.7691},
year = {2014}
}
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