The sharp Hardy Uncertainty Principle for Schödinger evolutions

Details The sharp Hardy Uncertainty Principle for Schödinger evolutions The sharp Hardy Uncertainty Principle for Schödinger evolutions

2009-06-04

arxiv.org/abs/0906.0884v1

Mathematics

Analysis of PDEs

Scientific paper

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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