4.5 Article

A dynamic uncertainty principle for Jacobi operators

Journal

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Volume 449, Issue 1, Pages 580-588

Publisher

ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jmaa.2016.12.028

Keywords

Schrodinger equation; Uncertainty principle; Jacobi operators

Funding

  1. Norwegian Research Council [DIMMA 213638]

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We prove that a solution of the Schrodinger-type equation i partial derivative(t)u = Hu, where H is a Jacobi operator with asymptotically constant coefficients, cannot decay too fast at two different times unless it is trivial. (C) 2016 Elsevier Inc. All rights reserved.

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