Unique Continuation for Schrödinger Evolutions, with Applications to Profiles of Concentration and Traveling Waves
نویسندگان
چکیده
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.
منابع مشابه
Uncertainty principle of Morgan type and Schrödinger evolutions
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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