Domains of elliptic operators on sets in Wiener space

DOI10.1142/S0219025720500046MaRDI QIDQ3298326

Davide Addona, S. Ferrari, Gianluca Cappa

Publication date: 14 July 2020

Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.05260

zbMATH Keywords

elliptic operatorWiener spacedomain of operatormaximal regularity divergence operatorweighted Gaussian measure

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Second-order elliptic equations (35J15) Measures and integration on abstract linear spaces (46G12) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20) Forms (bilinear, sesquilinear, multilinear) (47A07) Operator theory (47-XX)

Related Items (10)

\(L^2\)-theory for transition semigroups associated to dissipative systems ⋮ Regularizing properties of (non-Gaussian) transition semigroups in Hilbert spaces ⋮ Characterizations of Sobolev spaces on sublevel sets in abstract Wiener spaces ⋮ Analyticity of nonsymmetric Ornstein-Uhlenbeck semigroup with respect to a weighted Gaussian measure ⋮ Sobolev spaces with respect to a weighted Gaussian measure in infinite dimensions ⋮ On generators of transition semigroups associated to semilinear stochastic partial differential equations ⋮ On functions of bounded variation on convex domains in Hilbert spaces ⋮ On the domain of non-symmetric and, possibly, degenerate Ornstein-Uhlenbeck operators in separable Banach spaces ⋮ Gradient estimates for perturbed Ornstein-Uhlenbeck semigroups on infinite-dimensional convex domains ⋮ Harnack inequalities with power \(\pmb{p\in (1,+\infty )}\) for transition semigroups in Hilbert spaces

Cites Work

• Maximal \(L^{2}\) regularity for Ornstein-Uhlenbeck equation in convex sets of Banach spaces
• Maximal Sobolev regularity for solutions of elliptic equations in infinite dimensional Banach spaces endowed with a weighted Gaussian measure
• Sobolev regularity for a class of second order elliptic PDE's in infinite dimension
• Maximal Sobolev regularity in Neumann problems for gradient systems in infinite dimensional domains
• Dirichlet spaces on \(H\)-convex sets in Wiener space
• Convex functions, monotone operators and differentiability.
• Kolmogorov equation associated to the stochastic reflection problem on a smooth convex set of a Hilbert space. II.
• Kolmogorov equation associated to the stochastic reflection problem on a smooth convex set of a Hilbert space
• On a class of self-adjoint elliptic operators in \(L^2\) spaces with respect to invariant measures
• Elliptic operators with unbounded diffusion coefficients in \(L^{2}\) spaces with respect to invariant measures
• On a class of elliptic and parabolic equations in convex domains without boundary conditions
• Gaussian capacities
• The Sard inequality on Wiener space
• Elliptic operators with unbounded drift coefficients and Neumann boundary condition.
• The notion of convexity and concavity on Wiener space
• Elliptic partial differential equations of second order
• Maximal Sobolev regularity for solutions of elliptic equations in Banach spaces endowed with a weighted Gaussian measure: the convex subset case
• Sobolev functions on infinite-dimensional domains
• Traces of Sobolev functions on regular surfaces in infinite dimensions
• Linear and quasilinear elliptic equations
• Convexity and Optimization in Banach Spaces
• Second-order analysis of the Moreau–Yosida and the Lasry–Lions regularizations
• ON THE DOMAIN OF NONSYMMETRIC ORNSTEIN–UHLENBECK OPERATORS IN BANACH SPACES
• Regularity results for Kolmogorov equations in L 2 (H, μ) spaces and applications
• Dirichlet boundary conditions for elliptic operators with unbounded drift
• Gradient estimates in parabolic problems with unbounded coefficients
• Sobolev spaces with respect to a weighted Gaussian measure in infinite dimensions
• Convex analysis and monotone operator theory in Hilbert spaces
• Elliptic operators on \(\mathbb{R}^d\) with unbounded coefficients
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Domains of elliptic operators on sets in Wiener space