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

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.

23 pages

References in corpus (2)

• The sharp Hardy Uncertainty Principle for Schödinger evolutions
• Uncertainty Principle of Morgan type and Schrödinger Evolutions

Cited by in corpus (4)

• Some quantitative unique continuation results for eigenfunctions of the magnetic Schrödinger operator
• Unique continuation from infinity for linear waves
• Unique continuation properties for one dimensional higher order Schrödinger equations
• Lower Bounds for Non-Trivial Traveling Wave Solutions of Equations of KdV Type