1 October 2010 The sharp Hardy uncertainty principle for Schrödinger evolutions
Luis Escauriaza, Carlos E. Kenig, Gustavo Ponce, Luis Vega
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Duke Math. J. 155(1): 163-187 (1 October 2010). DOI: 10.1215/00127094-2010-053

Abstract

We give a new proof of Hardy uncertainty principle, up to the endpoint case, which is only based on calculus. The method allows us to extend Hardy uncertainty principle to Schrödinger equations with nonconstant coefficients. We also deduce optimal Gaussian decay bounds for solutions to these Schrödinger equations.

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Luis Escauriaza. Carlos E. Kenig. Gustavo Ponce. Luis Vega. "The sharp Hardy uncertainty principle for Schrödinger evolutions." Duke Math. J. 155 (1) 163 - 187, 1 October 2010. https://doi.org/10.1215/00127094-2010-053

Information

Published: 1 October 2010
First available in Project Euclid: 23 September 2010

zbMATH: 1220.35008
MathSciNet: MR2730375
Digital Object Identifier: 10.1215/00127094-2010-053

Subjects:
Primary: 35B05
Secondary: 35B60

Rights: Copyright © 2010 Duke University Press

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Vol.155 • No. 1 • 1 October 2010
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