DIRICHLET PROBLEMS IN A HALF-SPACE OF A HILBERT SPACE

DOI10.1142/S0219025702000729zbMath1064.35207OpenAlexW2057739431MaRDI QIDQ4818897

Enrico Priola

Publication date: 24 September 2004

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

Full work available at URL: https://doi.org/10.1142/s0219025702000729

zbMATH Keywords

interpolationsemigroupsSchauder estimatesGaussian integralshomogeneous infinite dimensional Dirichlet problem

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Markov semigroups and applications to diffusion processes (47D07) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20) PDEs on infinite-dimensional (e.g., function) spaces (= PDEs in infinitely many variables) (35R15)

Related Items (3)

HJB equations and stochastic control on half-spaces of Hilbert spaces ⋮ \(L^2\)-theory for transition semigroups associated to dissipative systems ⋮ Gradient estimates for Dirichlet parabolic problems in unbounded domains

Cites Work

• Norm discontinuity of Ornstein-Uhlenbeck semigroups
• Potential theory on Hilbert space
• A fundamental solution of the parabolic equation on Hilbert space
• Viscosity solutions of nonlinear second-order partial differential equations in hilbert spaces
• ON POLYNOMIAL APPROXIMATION OF FUNCTIONS ON HILBERT SPACE
• Schauder estimates for a homogeneous Dirichlet problem in a half-space of a Hilbert space

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