Stochastic continuity equation with nonsmooth velocity

DOI10.1007/s10231-017-0633-8zbMath1372.60093arXiv1610.03326OpenAlexW2530360190MaRDI QIDQ2409369

David A. C. Mollinedo, Christian Olivera

Publication date: 11 October 2017

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1610.03326

zbMATH Keywords

continuity equationstochastic partial differential equationstochastic characteristic methodregularization by noisecommutator lemma

Mathematics Subject Classification ID

Applications of stochastic analysis (to PDEs, etc.) (60H30) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) Initial value problems for linear first-order PDEs (35F10)

Related Items (7)

Stochastic transport equations with unbounded divergence ⋮ \(W^{1,p}\)-solutions of the transport equation by stochastic perturbation ⋮ Well-posedness of the non-local conservation law by stochastic perturbation ⋮ Existence and smoothness of the density for the stochastic continuity equation ⋮ Well-posedness of the stochastic transport equation with unbounded drift ⋮ Initial-boundary value problem for stochastic transport equations ⋮ Regularization by noise in one-dimensional continuity equation

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