Mild solutions of semilinear elliptic equations in Hilbert spaces

DOI10.1016/j.jde.2016.11.031zbMath1356.35113arXiv1604.00793OpenAlexW2964256178MaRDI QIDQ730124

Fausto Gozzi, Salvatore Federico

Publication date: 23 December 2016

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

Full work available at URL: https://arxiv.org/abs/1604.00793

zbMATH Keywords

HJB equationstransition semigroupsoptimal control of stochastic PDEselliptic equations in infinite dimension

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Smoothness and regularity of solutions to PDEs (35B65) PDEs on infinite-dimensional (e.g., function) spaces (= PDEs in infinitely many variables) (35R15) Semilinear elliptic equations (35J61)

Related Items (4)

Stochastic Control Problems with Unbounded Control Operators: Solutions Through Generalized Derivatives ⋮ Verification theorems for stochastic optimal control problems in Hilbert spaces by means of a generalized Dynkin formula ⋮ Regularizing properties of (non-Gaussian) transition semigroups in Hilbert spaces ⋮ Path-dependent equations and viscosity solutions in infinite dimension

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