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• W3101445288 abstract "The main purpose of this paper is to show the global stabilization and exact controllability properties for a fourth order nonlinear fourth order nonlinear Schrodinger system: $$ipartial_tu +partial_x^2u-partial_x^4u=lambda |u|^2u,$$ on a periodic domain $mathbb{T}$ with internal control supported on an arbitrary sub-domain of $mathbb{T}$. More precisely, by certain properties of propagation of compactness and regularity in Bourgain spaces, for the solutions of the associated linear system, we show that the system is globally exponentially stabilizable. This property together with the local exact controllability ensures that fourth order nonlinear Schrodinger is globally exactly controllable." @default.
• W3101445288 created "2020-11-23" @default.
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• W3101445288 date "2019-12-07" @default.
• W3101445288 modified "2023-10-18" @default.
• W3101445288 title "Stabilization and Control for the Biharmonic Schrödinger Equation" @default.
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• W3101445288 doi "https://doi.org/10.1007/s00245-019-09640-8" @default.
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