BV functions in a Hilbert space with respect to a Gaussian measure
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Publication:619700
DOI10.4171/RLM/580zbMath1206.26014MaRDI QIDQ619700
Luigi Ambrosio, Giuseppe Da Prato, Pallara, Diego
Publication date: 26 January 2011
Published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni (Search for Journal in Brave)
Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Stochastic calculus of variations and the Malliavin calculus (60H07) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20) Functions of bounded variation, generalizations (26A45)
Related Items
BV functions in Hilbert spaces ⋮ The Faber-Krahn inequality for the Hermite operator with Robin boundary conditions ⋮ BV functions in a Gelfand triple and the stochastic reflection problem on a convex set of a Hilbert space ⋮ The stochastic reflection problem on an infinite dimensional convex set and BV functions in a Gelfand triple ⋮ Approximation and relaxation of perimeter in the Wiener space
Cites Work
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- Transport equation and Cauchy problem for BV vector fields
- Hausdorff measures on the Wiener space.
- Towards a theory of BV functions in abstract Wiener spaces
- On flows associated to Sobolev vector fields in Wiener spaces: An approach à la DiPerna-Lions
- BV functions in abstract Wiener spaces
- BV functions and distorted Ornstein Uhlenbeck processes over the abstract Wiener space
- Symmetric Ornstein-Uhlenbeck semigroups and their generators
- An introduction to infinite-dimensional analysis
- Su una teoria generale della misura \((r-1)\)-dimensionale in uno spazio ad \(r\) dimensioni
- On the space of BV functions and a related stochastic calculus in infinite dimensions
- Stochastic Equations in Infinite Dimensions