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Some lower bounds for solutions of Schrödinger evolutions. (English) Zbl 1419.35170

Summary: We present some lower bounds for regular solutions of Schrödinger equations with bounded and time dependent complex potentials. Assuming that the solution has some positive mass at time zero within a ball of certain radius, we prove that this mass can be observed if one looks at the solution and its gradient in space-time regions outside of that ball.

MSC:

35Q41 Time-dependent Schrödinger equations and Dirac equations
39A12 Discrete version of topics in analysis
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