Infinite-dimensional elliptic equations with Hölder-continuous coefficients

zbMath0926.35153MaRDI QIDQ1915235

Giuseppe Da Prato, Piermarco Cannarsa

Publication date: 11 July 1996

Published in: Advances in Differential Equations (Search for Journal in Brave)

zbMATH Keywords

Schauder estimatesHölder-continuous coefficients

Mathematics Subject Classification ID

Groups and semigroups of linear operators (47D03) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Measures and integration on abstract linear spaces (46G12) Initial value problems for linear higher-order PDEs (35G10) PDEs on infinite-dimensional (e.g., function) spaces (= PDEs in infinitely many variables) (35R15) Higher-order parabolic equations (35K25)

Related Items (12)

Infinite–dimensional elliptic and stochastic equations with hölder-continuous coefficients ⋮ Hölder norm estimates for elliptic operators on finite and infinite-dimensional spaces ⋮ Maximum principles for infinite dimensional diffusion equations ⋮ Time regularity for generalized Mehler semigroups ⋮ Schauder regularity results in separable Hilbert spaces ⋮ Schauder estimates for elliptic equations in Banach spaces associated with stochastic reaction-diffusion equations ⋮ Schauder estimates for a homogeneous Dirichlet problem in a half-space of a Hilbert space ⋮ Infinite dimensional stochastic differential equations of Ornstein-Uhlenbeck type ⋮ Schauder theorems for Ornstein-Uhlenbeck equations in infinite dimension ⋮ Ergodic control of semilinear stochastic equations and the Hamilton-Jacobi equation ⋮ Schauder theorems for a class of (pseudo‐)differential operators on finite‐ and infinite‐dimensional state spaces ⋮ Degenerate stochastic differential equations with Hölder continuous coefficients and super-Markov chains

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