A Theorem of Paley-Wiener Type for Schrödinger Evolutions

2012/01/26 by Carlos E. Kenig, Gustavo Ponce, Kenig, Carlos E. +3
Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #math.AP

paper · pdf · doi:10.48550/arxiv.1201.5587

19 pages

arxiv created 2012/01/26 · arxiv updated 2012/01/27

Abstract

We prove unique continuation principles for solutions of evolution Schrödinger 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 Schrödinger equation.

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