Semilinear Kolmogorov Equations and Applications to Stochastic Optimal
Control |
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Authors: | Federica Masiero |
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Institution: | (1) Dipartimento di Matematica, Politecnico di Milano, Piazza Leonardo da Vinci 32, 20133 Milano, Italy |
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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. |
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Keywords: | Stochastic optimal control Hamilton– Jacobi– Bellman equation Infinite-dimensional
stochastic processes |
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