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arxiv: 1708.03909 · v5 · pith:DERNFGG3new · submitted 2017-08-13 · 🧮 math.PR

Martingale solution to stochastic extended Korteweg - de Vries equation

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keywords equationsolutionextendedkortewegmartingalestochasticvriesapproximations
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We study a stochastic extended Korteweg - de Vries equation driven by a multiplicative noise. We prove the existence of a martingale solution to the equation studied. The proof of the solution is based on two approximations of the problem considered and the compactness method.

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