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.
Citation
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