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- W2019445751 abstract "We prove that the Schrodinger equation is approximately controllable in Sobolev spaces $H^s$, $s>0$ generically with respect to the potential. We give two applications of this result. First, in the case of one space dimension, combining our result with a local exact controllability property, we get the global exact controllability of the system in higher Sobolev spaces. Then we prove that the Schrodinger equation with a potential which has a random time-dependent amplitude admits at most one stationary measure on the unit sphere $S$ in $L^2 $." @default.
- W2019445751 created "2016-06-24" @default.
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- W2019445751 date "2009-05-14" @default.
- W2019445751 modified "2023-09-27" @default.
- W2019445751 title "Global approximate controllability for Schrodinger equation in higher Sobolev norms and applications" @default.
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