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- W2023847519 abstract "We prove global internal controllability in large time for the nonlinear Schrodinger equation on some compact manifolds of dimension 3. The result is proved under some geometrical assumptions : geometric control and unique continuation. We give some examples where they are fulfilled on $Tot$, $S^3$ and $S^2times S^1$. We prove this by two different methods both inherently interesting. The first one combines stabilization and local controllability near 0. The second one uses successive controls near some trajectories. We also get a regularity result about the control if the data are assumed smoother. If the $H^1$ norm is bounded, it gives a local control in $H^1$ with a smallness assumption only in $L^2$. We use Bourgain spaces." @default.
- W2023847519 created "2016-06-24" @default.
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- W2023847519 date "2009-03-10" @default.
- W2023847519 modified "2023-09-27" @default.
- W2023847519 title "Global controllability and stabilization for the nonlinear Schrodinger equation on some compact manifolds of dimension 3" @default.
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