We prove a stochastic maximum principle of Pontryagin’s type for the optimal control of a stochastic partial differential equation driven by white noise in the case when the set of control actions is convex. Particular attention is paid to well-posedness of the adjoint backward stochastic differential equation and the regularity properties of its solution with values in infinite-dimensional spaces.
Stochastic maximum principle for optimal control of partial differential equations driven by white noise / M. Fuhrman, H. Ying, T. Gianmario. - In: STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS: ANALYSIS AND COMPUTATIONS. - ISSN 2194-0401. - 6:2(2018 Jun), pp. 255-285. [10.1007/s40072-017-0108-3]
Stochastic maximum principle for optimal control of partial differential equations driven by white noise
M. Fuhrman
;
2018
Abstract
We prove a stochastic maximum principle of Pontryagin’s type for the optimal control of a stochastic partial differential equation driven by white noise in the case when the set of control actions is convex. Particular attention is paid to well-posedness of the adjoint backward stochastic differential equation and the regularity properties of its solution with values in infinite-dimensional spaces.File | Dimensione | Formato | |
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