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arxiv: 1108.0948 · v1 · pith:RL5XVDCSnew · submitted 2011-08-03 · 🧮 math.AP

Dispersive Estimates for Schr\"odinger Operators with Measure-Valued Potentials in R³

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keywords dispersiveestimatesodingerschrassociateddeltadimensionevolution
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We prove dispersive estimates for the linear Schr\"odinger evolution associated to an operator -\Delta + V, where the potential is a signed measure of fractal dimension at least 3/2.

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