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- W4300103923 abstract "Stochastic non-local conservation law equation in the presence of discontinuous flux functions is considered in an $L^{1}cap L^{2}$ setting. The flux function is assumed bounded and integrable (spatial variable). Our result is to prove existence and uniqueness of weak solutions. The solution is strong solution in the probabilistic sense. The proofs are constructive and based on the method of characteristics (in the presence of noise), It^o-Wentzell-Kunita formula and commutators. Our results are new , to the best of our knowledge, and are the first nonlinear extension of the seminar paper [20] where the linear case was addressed." @default.
- W4300103923 created "2022-10-03" @default.
- W4300103923 creator A5023702411 @default.
- W4300103923 date "2017-03-17" @default.
- W4300103923 modified "2023-09-25" @default.
- W4300103923 title "Well-posedness of the non-local conservation law by stochastic perturbation" @default.
- W4300103923 doi "https://doi.org/10.48550/arxiv.1703.06150" @default.
- W4300103923 hasPublicationYear "2017" @default.
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