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

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

2010-10-10

arxiv.org/abs/1010.1906v1

Mathematics

Analysis of PDEs

23 pages

Scientific paper

We prove unique continuation properties for solutions of the evolution
Schr\"odinger 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 Schr\"odinger equations.

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