Some lower bounds for solutions of Schrodinger evolutions
classification
🧮 math.AP
math-phmath.MP
keywords
someballboundslowermasssolutionsolutionstime
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We present some lower bounds for regular solutions of Schr\"odinger 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.
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