Renormalization of stochastic continuity equations on Riemannian manifolds

DOI10.1016/j.spa.2021.08.009zbMath1483.58009arXiv1912.10731OpenAlexW3196471330WikidataQ115341114 ScholiaQ115341114MaRDI QIDQ2239258

Kenneth Hvistendahl Karlsen, Luca Galimberti

Publication date: 3 November 2021

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.10731

zbMATH Keywords

weak solutionuniquenessRiemannian manifoldhyperbolic equationchain rulestochastic continuity equation

Mathematics Subject Classification ID

Diffusion processes and stochastic analysis on manifolds (58J65) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Weak solutions to PDEs (35D30) Initial value problems for linear first-order PDEs (35F10) Hyperbolic equations on manifolds (58J45)

Related Items (4)

Stochastic transport equations with unbounded divergence ⋮ Stochastic integrals and Gelfand integration in Fréchet spaces ⋮ Well-posedness of stochastic continuity equations on Riemannian manifolds ⋮ Stochastic Lagrangian perturbation of Lie transport and applications to fluids

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