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- W2896083559 abstract "We study an optimal distributed control problem associated to a stochastic Cahn-Hilliard equation with a classical double-well potential and Wiener multiplicative noise, where the control is represented by a source-term in the definition of the chemical potential. By means of probabilistic and analytical compactness arguments, existence of an optimal control is proved. Then the linearized system and the corresponding backward adjoint system are analysed through monotonicity and compactness arguments, and first-order necessary conditions for optimality are proved." @default.
- W2896083559 created "2018-10-26" @default.
- W2896083559 creator A5063333058 @default.
- W2896083559 date "2019-01-01" @default.
- W2896083559 modified "2023-09-24" @default.
- W2896083559 title "Optimal Distributed Control of a Stochastic Cahn--Hilliard Equation" @default.
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- W2896083559 doi "https://doi.org/10.1137/18m1222223" @default.
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