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- W3203399354 abstract "We establish the well-posedness of the Neumann problem for stochastic conservation laws with multiplicative noise. As a crucial point in order to prove the uniqueness of the kinetic solution to the referred problem we establish a new strong trace theorem for stochastic conservation laws, which extends to the stochastic context the pioneering theorem by Vasseur. Existence of kinetic solutions is proved through the vanishing viscosity method and the detailed analysis of the corresponding stochastic parabolic problem is also made here for the first time, as far as the authors know." @default.
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- W3203399354 date "2021-09-22" @default.
- W3203399354 modified "2023-10-16" @default.
- W3203399354 title "The strong trace property and the Neumann problem for stochastic conservation laws" @default.
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- W3203399354 doi "https://doi.org/10.1007/s40072-021-00215-9" @default.
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