Mathematics > Probability
[Submitted on 28 Oct 2014]
Title:Martingale and Weak Solutions for a Stochastic Nonlocal Burgers Equation on Bounded Intervals
View PDFAbstract: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.
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