A Theorem of Paley-Wiener Type for Schrödinger Evolutions

Details A Theorem of Paley-Wiener Type for Schrödinger Evolutions A Theorem of Paley-Wiener Type for Schrödinger Evolutions

2012-01-26

arxiv.org/abs/1201.5587v1

Mathematics

Analysis of PDEs

19 pages

Scientific paper

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.

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