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arxiv: math/0407331 · v1 · submitted 2004-07-19 · 🧮 math.AP

Dispersive estimates for the three-dimensional Schroedinger equation with rough potentials

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keywords estimatesequationschroedingeradditionalassumedbelongcertaindecay
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We prove L^1 --> L^\infty estimates for the linear Schroedinger equation in three dimensions. The potential is assumed to belong to certain L^p spaces, but no pointwise decay estimates and no additional regularity is required.

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