Mathematics – Analysis of PDEs
Scientific paper
2009-09-17
Mathematics
Analysis of PDEs
Scientific paper
We prove unique continuation properties for solutions of evolution Schr\"odinger 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 Schr\"odinger equations.
Escauriaza Luis
Kenig Carlos E.
Ponce Gabriel
Vega Luis
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