Stochastic transport equation with bounded and Dini continuous drift

DOI10.1016/j.jde.2022.03.038zbMath1486.60085arXiv2105.08465OpenAlexW3160896673MaRDI QIDQ2124519

Wei Wang, Guangying Lv, Jin-Long Wei

Publication date: 11 April 2022

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.08465

zbMATH Keywords

Cauchy problemBrownian motionstochastic transport equationexistence and uniqueness resultDini-continuous driftL\(^{\infty }\)-solutionstochastic quasi-diffeomorphisms flow

Mathematics Subject Classification ID

Brownian motion (60J65) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) First-order hyperbolic equations (35L02)

Related Items (5)

The probability of events for stochastic parabolic equations ⋮ Stochastic differential equations with critically irregular drift coefficients ⋮ Transport equation driven by a stochastic measure ⋮ The impact of noise on Burgers equations ⋮ On the Campanato and Hölder regularity of local and nonlocal stochastic diffusion equations

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