Maximal Sobolev regularity for solutions of elliptic equations in Banach spaces endowed with a weighted Gaussian measure: the convex subset case
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Publication:1674386
DOI10.1016/j.jmaa.2017.09.015zbMath1375.35063arXiv1609.07337OpenAlexW2524634572MaRDI QIDQ1674386
Publication date: 2 November 2017
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1609.07337
Smoothness and regularity of solutions to PDEs (35B65) Boundary value problems for second-order elliptic equations (35J25) Weak solutions to PDEs (35D30)
Related Items (10)
\(L^2\)-theory for transition semigroups associated to dissipative systems ⋮ Regularizing properties of (non-Gaussian) transition semigroups in Hilbert spaces ⋮ Domains of elliptic operators on sets in Wiener space ⋮ 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 ⋮ Schauder theorems for a class of (pseudo‐)differential operators on finite‐ and infinite‐dimensional state spaces ⋮ Harnack inequalities with power \(\pmb{p\in (1,+\infty )}\) for transition semigroups in Hilbert spaces
Cites Work
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- 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.
- Hausdorff measures on the Wiener space.
- 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
- On a class of elliptic and parabolic equations in convex domains without boundary conditions
- Sets with finite perimeter in Wiener spaces, perimeter measure and boundary rectifiability
- Functional analysis, Sobolev spaces and partial differential equations
- The Sard inequality on Wiener space
- Elliptic operators with unbounded drift coefficients and Neumann boundary condition.
- Measures induced on Wiener space by monotone shifts
- Traces of Sobolev functions on regular surfaces in infinite dimensions
- Linear and quasilinear elliptic equations
- Convexity and Optimization in Banach Spaces
- On the small balls problem for equivalent Gaussian measures
- 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
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