# Global Controllability and Stabilization for the Nonlinear Schrödinger Equation on Some Compact Manifolds of Dimension 3

@article{Laurent2010GlobalCA,
title={Global Controllability and Stabilization for the Nonlinear Schr{\"o}dinger Equation on Some Compact Manifolds of Dimension 3},
author={Camille Laurent},
journal={SIAM J. Math. Anal.},
year={2010},
volume={42},
pages={785-832}
}
• C. Laurent
• Published 26 May 2008
• Mathematics
• SIAM J. Math. Anal.
We prove global internal controllability in large time for the nonlinear Schr\"odinger 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 $S^2\times S^1$. 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…

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