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arXiv · 0909.3287

Uncertainty Principle of Morgan type and Schrödinger Evolutions

L. Escauriaza·C. E. Kenig·G. Ponce·L. Vega
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Abstract

We prove unique continuation properties for solutions of evolution Schrödinger equation with time dependent potentials. In the case of the free solution these correspond to uncertainly principles referred to as being of Morgan type. As an application of our method we also obtain results concerning the possible concentration profiles of solutions of semi-linear Schrödinger equations.

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L. Escauriaza, C. E. Kenig, G. Ponce, L. Vega. 2009-09-17. Uncertainty Principle of Morgan type and Schrödinger Evolutions. https://doi.org/10.1112/jlms%2Fjdq072

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