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Springer (part of Springer Nature), Communications in Mathematical Physics, 2(305), p. 487-512

DOI: 10.1007/s00220-011-1256-3

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

Journal article published in 2010 by L. Escauriaza, C. E. Kenig, G. Ponce, L. Vega ORCID
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This paper is available in a repository.

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Abstract

We prove unique continuation properties for solutions of the evolution Schr̈odinger 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 Schr̈odinger equations. ; Comment: 23 pages