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A degenerate parabolic–hyperbolic Cauchy problem with a stochastic force

Caroline BauzetI2M, 39 Rue F. Joliot Curie, 13453 Marseille Cedex 13, FranceGuy ValletLMAP UMR - CNRS 5142, IPRA BP 1155, 64013 Pau Cedex, FrancePetra Wittbold
2015en
ABI

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In this paper, we are interested in the Cauchy problem for a nonlinear degenerate parabolic–hyperbolic problem with multiplicative stochastic forcing. Using an adapted entropy formulation a result of existence and uniqueness of a solution is proven.

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