A Theorem of Paley-Wiener Type for Schr\"odinger Evolutions
Analysis of PDEs
2012-01-27 v1
Abstract
We prove unique continuation principles for solutions of evolution Schr\"odinger equations with time dependent potentials. These correspond to uncertainly principles of Paley-Wiener type for the Fourier transform. Our results extends to a large class of semi-linear Schr\"odinger equation.
Keywords
Cite
@article{arxiv.1201.5587,
title = {A Theorem of Paley-Wiener Type for Schr\"odinger Evolutions},
author = {Carlos E. Kenig and Gustavo Ponce and Luis Vega},
journal= {arXiv preprint arXiv:1201.5587},
year = {2012}
}
Comments
19 pages