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- W4283312115 abstract "We prove controllability of the Schrodinger equation in $mathbb{R}^d$ in any time $T > 0$ with internal control supported on nonempty, periodic, open sets. This demonstrates in particular that controllability of the Schrodinger equation in full space holds for a strictly larger class of control supports than for the wave equation and suggests that the control theory of Schrodinger equation in full space might be closer to the diffusive nature of the heat equation than to the ballistic nature of the wave equation. Our results are based on a combination of Floquet-Bloch theory with Ingham-type estimates on lacunary Fourier series." @default.
- W4283312115 created "2022-06-24" @default.
- W4283312115 creator A5001759909 @default.
- W4283312115 date "2022-06-21" @default.
- W4283312115 modified "2023-09-27" @default.
- W4283312115 title "Controllability of the Schrodinger equation on unbounded domains without geometric control condition" @default.
- W4283312115 doi "https://doi.org/10.48550/arxiv.2206.10204" @default.
- W4283312115 hasPublicationYear "2022" @default.
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