Bilinear quantum systems on compact graphs: well-posedness and global exact controllability

Abstract : We consider the bilinear Schrödinger equations on compact quantum graphs. We prove the well-posedness and the global exact controllability according to the structure of the graph. We apply the main results to examples involving star graphs and tadpole graphs. AMS subject classifications: 35Q41, 93C20, 93B05, 81Q15.
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https://hal.archives-ouvertes.fr/hal-01830297
Contributor : Alessandro Duca <>
Submitted on : Thursday, July 12, 2018 - 3:55:11 PM
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Alessandro Duca. Bilinear quantum systems on compact graphs: well-posedness and global exact controllability. 2018. ⟨hal-01830297v2⟩

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