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This work is about the existence of martingale solutions and weak solutionsfor a stochastic nonlocal Burgers equation on bounded intervals. The existenceof a martingale solution is shown by using a Galerkin approximation,Prokhorov's theorem and Skorokhod's embedding theorem. The same Galerkinapproximation also leads to the existence of weak solution for thecorresponding deterministic nonlocal Burgers equation on a bounded domain.

Martingale and Weak Solutions for a Stochastic Nonlocal Burgers Equation on Bounded Intervals