Absolutely continuous flows generated by Sobolev class vector fields in finite and infinite dimensions
From MaRDI portal
Publication:1305537
DOI10.1006/jfan.1999.3430zbMath0956.60079OpenAlexW2087574481MaRDI QIDQ1305537
Eddy Mayer-Wolf, Vladimir I. Bogachev
Publication date: 2 March 2001
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jfan.1999.3430
Related Items (25)
Surface measures generated by differentiable measures ⋮ Functions of bounded variation on infinite-dimensional spaces with measures ⋮ The Flow Associated to Weakly Differentiable Vector Fields: Recent Results and Open Problems ⋮ QUASIINVARIANT GAUSSIAN MEASURES FOR ONE-DIMENSIONAL HAMILTONIAN PARTIAL DIFFERENTIAL EQUATIONS ⋮ Besov classes on infinite-dimensional spaces ⋮ Well posedness of ODE's and continuity equations with nonsmooth vector fields, and applications ⋮ Classes of functions of bounded variation on infinite-dimensional domains ⋮ Quasi-invariance under flows generated by non-linear PDEs ⋮ Absolute Continuity under Time Shift of Trajectories and Related Stochastic Calculus ⋮ Weak vorticity formulation of 2D Euler equations with white noise initial condition ⋮ A condition for the positivity of the density of an invariant measure ⋮ Flows associated to adapted vector fields on the Wiener space ⋮ Sobolev functions on infinite-dimensional domains ⋮ On continuity equations in infinite dimensions with non-Gaussian reference measure ⋮ 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 ⋮ Continuity equation in llogl for the 2D Euler equations under the enstrophy measure ⋮ Reverse hypercontractivity over manifolds ⋮ \(\rho\)-white noise solution to 2D stochastic Euler equations ⋮ Dynamical systems generated by Sobolev class vector fields in finite and infinite dimensions ⋮ Absolutely continuous flows generated by Sobolev class vector fields in finite and infinite dimensions ⋮ On existence of a solution for differential equation with interaction ⋮ On the uniqueness of solutions to continuity equations
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Equations différentielles ordinaires: Non explosion et mesures quasi- invariantes
- Equations différentielles sur l'espace de Wiener et formules de Cameron- Martin non-linéaires
- Integration on loop groups. I: Quasi invariant measures
- Anticipative Girsanov transformations
- Unicité de solutions d'équations différentielles sur l'espace de Wiener
- Absolute continuity of smooth measures
- Ordinary differential equations, transport theory and Sobolev spaces
- Some relations among classes of \(\sigma\)-fields on Wiener space
- Locally convex spaces with the property of central limit theorem and measure supports
- When does the Ramer formula look like the Girsanov formula?
- Transformation of Wiener measure under anticipative flows
- A Cameron-Martin type quasi-invariance theorem for Brownian motion on a compact Riemannian manifold
- Differentiable measures and the Malliavin calculus
- Absolutely continuous flows generated by Sobolev class vector fields in finite and infinite dimensions
- Differentiable families of measures
- On the structure of independence on Wiener space
- Renormalized differential geometry on path space: Structural equation, curvature
- On nonlinear transformations of Gaussian measures
- Smoothing properties of semigroups for Dirichlet operators of Gibbs measures
- Dirichlet operators via stochastic analysis
- Deterministic and stochastic differential equations in infinite- dimensional spaces
- Random rotations of the Wiener path
- Global finite dimensional flows
- Regularity of invariant measures on finite and infinite dimensional spaces and applications
- Generalized Mehler semigroups and applications
- Preservation of measure continuity under conditioning
- Anticipating flows on the Wiener space generated by vector fields of low regularity
- Analytic properties of infinite-dimensional distributions
- Weakly Differentiable Functions
- Gaussian radon measures on locally convex spaces.
This page was built for publication: Absolutely continuous flows generated by Sobolev class vector fields in finite and infinite dimensions