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• W2912349508 abstract "We study optimal bilinear control problems for stochastic nonlinear Schrodinger equations in both the mass subcritical and critical case. For general initial data of the minimal L2 regularity, we prove the existence and first order Lagrange condition of an open loop control. Furthermore, we obtain uniform estimates of (backward) stochastic solutions in new spaces of type U2 and V2, adapted to evolution operators related to linear Schrodinger equations with lower order perturbations. In particular, we obtain a new temporal regularity of rescaled (backward) stochastic solutions, which is the key ingredient in the proof of tightness of approximating controls induced by Ekeland's variational principle." @default.
• W2912349508 created "2019-02-21" @default.
• W2912349508 creator A5008807000 @default.
• W2912349508 date "2019-02-10" @default.
• W2912349508 modified "2023-09-26" @default.
• W2912349508 title "Optimal bilinear control of stochastic nonlinear Schrodinger equations: mass-(sub)critical case" @default.
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• W2912349508 doi "https://doi.org/10.48550/arxiv.1902.03559" @default.
• W2912349508 hasPublicationYear "2019" @default.
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