Some Lower Bounds for Solutions of Schrödinger Evolutions
Abstract
We present some lower bounds for regular solutions of Schrödinger equations with bounded and time dependent complex potentials. Assuming that the solution has some positive mass at time zero within a ball of certain radius, we prove that this mass can be observed if one looks at the solution and its gradient in space-time regions outside of that ball.
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Information & Authors
Information
Published In
SIAM Journal on Mathematical Analysis
Pages: 3324 - 3336
DOI: 10.1137/18M1218133
ISSN (online): 1095-7154
Copyright
© 2019, Society for Industrial and Applied Mathematics.
History
Submitted: 2 October 2018
Accepted: 29 May 2019
Published online: 21 August 2019
Keywords
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Funding Information
ERCEA : 669689 - HADE
MEIC : MTM2014-53850-P, SEV-2013-0323
Eusko Jaurlaritza https://doi.org/10.13039/501100003086
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