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- W2414943670 abstract "In this paper, we discuss the Cauchy problem for a degenerate parabolic hyperbolic equation with a multiplicative noise. We focus on the existence of a solution. Using nondegenerate smooth approximations, Debussche, Hofmanova and Vovelle [8] proved the existence of a kinetic solution. On the other hand, we propose to construct a sequence of approximations by applying a time splitting method and prove that this converges strongly in $L^1$ to a kinetic solution. This method will somewhat give us not only a simpler and more direct argument but an improvement over the existence result." @default.
- W2414943670 created "2016-06-24" @default.
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- W2414943670 date "2016-06-06" @default.
- W2414943670 modified "2023-09-27" @default.
- W2414943670 title "A time splitting approach to quasilinear Degenerate Parabolic Partial Differential Equations" @default.
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