Anticipating flows on the Wiener space generated by vector fields of low regularity

DOI10.1006/jfan.1996.0146zbMath0907.58005OpenAlexW2062633194MaRDI QIDQ2563445

Gunnar Peters

Publication date: 10 December 1998

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jfan.1996.0146

zbMATH Keywords

Sobolev spaceflowsabstract Wiener spacesemi-groups of rotations

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Stochastic calculus of variations and the Malliavin calculus (60H07) Vector-valued measures and integration (46G10) Stochastic integral equations (60H20) Equations in function spaces; evolution equations (58D25)

Related Items (15)

The Flow Associated to Weakly Differentiable Vector Fields: Recent Results and Open Problems ⋮ Integration by parts and quasi-invariance for heat kernel measures on loop groups ⋮ The 2D Euler equations and the statistical transport equations ⋮ Quasi-sure flows associated with vector fields of low regularity ⋮ Flows associated to adapted vector fields on the Wiener space ⋮ Transport equations and quasi-invariant flows on the Wiener space ⋮ WELL-POSEDNESS OF FOKKER–PLANCK TYPE EQUATIONS ON THE WIENER SPACE ⋮ The divergence of Banach space valued random variables on Wiener space ⋮ On flows associated to Sobolev vector fields in Wiener spaces: An approach à la DiPerna-Lions ⋮ Dynamical systems generated by Sobolev class vector fields in finite and infinite dimensions ⋮ Flows associated to tangent processes on the Wiener space ⋮ Absolutely continuous flows generated by Sobolev class vector fields in finite and infinite dimensions ⋮ The Clark-Ocone formula for vector valued Wiener functionals ⋮ Transformation of Gaussian measure by infinite-dimensional stochastic flow ⋮ On the uniqueness of solutions to continuity equations

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