Maximal Sobolev regularity in Neumann problems for gradient systems in infinite dimensional domains

DOI10.1214/14-AIHP611zbMath1330.35514arXiv1309.6519OpenAlexW1678375943MaRDI QIDQ500808

Giuseppe Da Prato, Alessandra Lunardi

Publication date: 5 October 2015

Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1309.6519

zbMATH Keywords

Neumann boundary conditionmaximal Sobolev regularityKolmogorov operators in infinite dimension

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) PDEs on infinite-dimensional (e.g., function) spaces (= PDEs in infinitely many variables) (35R15)

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Maximal \(L^{2}\) regularity for Ornstein-Uhlenbeck equation in convex sets of Banach spaces ⋮ Construction of a surface integral under local Malliavin assumptions, and related integration by parts formulas ⋮ Maximal Sobolev regularity for solutions of elliptic equations in Banach spaces endowed with a weighted Gaussian measure: the convex subset case ⋮ \(L^2\)-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 ⋮ On generators of transition semigroups associated to semilinear stochastic partial differential equations ⋮ 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

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