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arXiv · 1010.1906

Unique Continuation for Schrödinger Evolutions, with applications to profiles of concentration and traveling waves

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

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 concerning the possible concentration profiles of blow up solutions and the possible profiles of the traveling waves solutions of semi-linear Schrödinger equations.

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L. Escauriaza, C. E. Kenig, G. Ponce, L. Vega. 2010-10-10. Unique Continuation for Schrödinger Evolutions, with applications to profiles of concentration and traveling waves. https://doi.org/10.1007/s00220-011-1256-3

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