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- W4300763247 abstract "We study an optimal relaxed control problem for a class of semilinear stochastic PDEs on Banach spaces perturbed by multiplicative noise and driven by a cylindrical Wiener process. The state equation is controlled through the nonlinear part of the drift coefficient which satisfies a dissipative-type condition with respect to the state variable. The main tools of our study are the factorization method for stochastic convolutions in UMD type-2 Banach spaces and certain compactness properties of the factorization operator and of the class of Young measures on Suslin metrisable control sets." @default.
- W4300763247 created "2022-10-04" @default.
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- W4300763247 date "2010-01-18" @default.
- W4300763247 modified "2023-09-24" @default.
- W4300763247 title "Optimal relaxed control of dissipative stochastic partial differential equations in Banach spaces" @default.
- W4300763247 doi "https://doi.org/10.48550/arxiv.1001.3165" @default.
- W4300763247 hasPublicationYear "2010" @default.
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