Schauder theorems for Ornstein-Uhlenbeck equations in infinite dimension

DOI10.1016/j.jde.2019.08.005zbMath1422.35183arXiv1901.01554OpenAlexW2968612972MaRDI QIDQ2273519

Sandra Cerrai, Alessandra Lunardi

Publication date: 24 September 2019

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

Full work available at URL: https://arxiv.org/abs/1901.01554

zbMATH Keywords

Schauder estimatesinfinite dimensional analysis

Mathematics Subject Classification ID

Markov semigroups and applications to diffusion processes (47D07) Transition functions, generators and resolvents (60J35) PDEs on infinite-dimensional (e.g., function) spaces (= PDEs in infinitely many variables) (35R15)

Related Items (5)

Regularizing properties of (non-Gaussian) transition semigroups in Hilbert spaces ⋮ Schauder regularity results in separable Hilbert spaces ⋮ An optimal regularity result for Kolmogorov equations and weak uniqueness for some critical SPDEs ⋮ 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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• Schauder estimates for elliptic equations in Banach spaces associated with stochastic reaction-diffusion equations
• On the Ornstein-Uhlenbeck operator in spaces of continuous functions
• Infinite-dimensional elliptic equations with Hölder-continuous coefficients
• On the small balls problem for equivalent Gaussian measures
• Hölder norm estimates for elliptic operators on finite and infinite-dimensional spaces
• Second order PDE's in finite and infinite dimension

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