Hardy Uncertainty Principle, Convexity and Parabolic Evolutions
Analysis of PDEs
2016-01-20 v1 Complex Variables
Abstract
We give a new proof of the version of Hardy's uncertainty principle based on calculus and on its dynamical version for the heat equation. The reasonings rely on new log-convexity properties and the derivation of optimal Gaussian decay bounds for solutions to the heat equation with Gaussian decay at a future time. We extend the result to heat equations with lower order variable coefficient.
Keywords
Cite
@article{arxiv.1506.05670,
title = {Hardy Uncertainty Principle, Convexity and Parabolic Evolutions},
author = {L. Escauriaza and C. E. Kenig and G. Ponce and L. Vega},
journal= {arXiv preprint arXiv:1506.05670},
year = {2016}
}