The sharp Hardy Uncertainty Principle for Sch\"odinger evolutions
Analysis of PDEs
2019-12-19 v1 Classical Analysis and ODEs
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.
Cite
@article{arxiv.0906.0884,
title = {The sharp Hardy Uncertainty Principle for Sch\"odinger evolutions},
author = {L. Escauriaza and C. E. Kenig and G. Ponce and L. Vega},
journal= {arXiv preprint arXiv:0906.0884},
year = {2019}
}