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On a stochastic Burgers equation with Dirichlet boundary conditions - MaRDI portal

On a stochastic Burgers equation with Dirichlet boundary conditions (Q1415128)

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scientific article; zbMATH DE number 2012573
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On a stochastic Burgers equation with Dirichlet boundary conditions
scientific article; zbMATH DE number 2012573

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    On a stochastic Burgers equation with Dirichlet boundary conditions (English)
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    3 December 2003
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    The author proves the existence of a weak solution for the one-dimensional Burgers equation perturbed by a white noise term, with Dirichlet boundary conditions and a continuous (not necessarily Lipschitz) coefficient. The sequence of polygonal approximations is proved to be tight, and the martingale problem for the weak limit has a solution.
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    Burgers equation
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    non-Lipschitz coefficient
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