84 citations · 145 across the 10 of their papers we have counts for
10 papers
Hardy Uncertainty Principle, Convexity and Parabolic Evolutions
L. Escauriaza, C. E. Kenig, G. Ponce +1
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-conve…
Lower Bounds for Non-Trivial Traveling Wave Solutions of Equations of KdV Type
C. E. Kenig, G. Ponce, L. Vega
We prove that if a solution of an equation of KdV type is bounded above by a traveling wave with an amplitude that decays faster than a given linear exponential then it must be zer…
Uniqueness Properties of Solutions to Schrödinger Equations
Luis Escauriaza, Carlos E. Kenig, Gustavo Ponce +1
In this work we shall review some of our recent results concerning unique continuation properties of solutions of Schrödinger equations. In this equations we include linear ones wi…
Unique Continuation for Schrödinger Evolutions, with applications to profiles of concentration and traveling waves
L. Escauriaza, C. E. Kenig, G. Ponce +1
We prove unique continuation properties for solutions of the evolution Schrödinger equation with time dependent potentials. As an application of our method we also obtain results c…
The Hardy Uncertainty Principle Revisited
M. Cowling, L. Escauriaza, C. E. Kenig +2
We give a real-variable proof of the Hardy uncertainty principle. The method is based on energy estimates for evolutions with positive viscosity, convexity properties of free waves…
The sharp Hardy Uncertainty Principle for Schödinger evolutions
L. Escauriaza, C. E. Kenig, G. Ponce +1
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 Sch…