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Semilinear Kolmogorov Equations and Applications to Stochastic Optimal Control
Authors:Federica Masiero
Institution:(1) Dipartimento di Matematica, Politecnico di Milano, Piazza Leonardo da Vinci 32, 20133 Milano, Italy
Abstract:Semilinear parabolic differential equations are solved in a mild sense in an infinite-dimensional Hilbert space. Applications to stochastic optimal control problems are studied by solving the associated Hamilton–Jacobi–Bellman equation. These results are applied to some controlled stochastic partial differential equations.
Keywords:Stochastic optimal control  Hamilton–  Jacobi–  Bellman equation  Infinite-dimensional stochastic processes
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