BV functions in Hilbert spaces
From MaRDI portal
Publication:832497
DOI10.1007/s00208-020-02037-xzbMath1497.26041arXiv1801.03344OpenAlexW3041494825MaRDI QIDQ832497
Giuseppe Da Prato, Alessandra Lunardi
Publication date: 25 March 2022
Published in: Mathematische Annalen (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1801.03344
Geometric measure and integration theory, integral and normal currents in optimization (49Q15) Absolutely continuous real functions of several variables, functions of bounded variation (26B30) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20) Calculus of functions on infinite-dimensional spaces (26E15)
Related Items
Sobolev and Besov classes on infinite-dimensional spaces, BV capacity and Sobolev capacity for the Laguerre operator
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Estimate for \(P_{t}D\) for the stochastic Burgers equation
- Classes of functions of bounded variation on infinite-dimensional domains
- The stochastic reflection problem on an infinite dimensional convex set and BV functions in a Gelfand triple
- Sobolev regularity for a class of second order elliptic PDE's in infinite dimension
- BV functions in a Hilbert space with respect to a Gaussian measure
- Kolmogorov equations for stochastic PDEs.
- Absolute continuity of the invariant measures for some stochastic PDEs
- BV functions in abstract Wiener spaces
- BV functions and distorted Ornstein Uhlenbeck processes over the abstract Wiener space
- On semi-martingale characterizations of functionals of symmetric Markov processes
- Integration by parts formulae on convex sets of paths and applications to SPDEs with reflection
- On the law of the minimum in a class of unidimensional SDEs
- BV functions in a Gelfand triple for differentiable measure and its applications
- Functions of bounded variation on infinite-dimensional spaces with measures
- An integral inequality for the invariant measure of a stochastic reaction-diffusion equation
- Traces of Sobolev functions on regular surfaces in infinite dimensions
- Functions of locally bounded variation on Wiener spaces
- Perimeter of sublevel sets in infinite dimensional spaces
- An introduction to $BV$ functions in Wiener spaces
- Malliavin calculus for non-Gaussian differentiable measures and surface measures in Hilbert spaces
- Gradient estimates in parabolic problems with unbounded coefficients
- Bounded Variation with Respect to a Log-Concave Measure
- Sobolev spaces with respect to a weighted Gaussian measure in infinite dimensions
- Reflecting Ornstein-Uhlenbeck processes on pinned path spaces
- Second order PDE's in finite and infinite dimension
- On the space of BV functions and a related stochastic calculus in infinite dimensions