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The sharp Hardy Uncertainty Principle for Sch\"odinger evolutions

L. Escauriaza·C. E. Kenig·G. Ponce·L. Vega
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Abstract

We give a new proof of Hardy's uncertainty principle, up to the end-point case, which is only based on calculus. The method allows us to extend Hardy's uncertainty principle to Schr\"odinger equations with non-constant coefficients. We also deduce optimal Gaussian decay bounds for solutions to these Schr\"odinger equations.

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L. Escauriaza, C. E. Kenig, G. Ponce, L. Vega. 2009-06-04. The sharp Hardy Uncertainty Principle for Sch\"odinger evolutions. https://doi.org/10.1215/00127094-2010-053

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