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arxiv: math/0611314 · v1 · submitted 2006-11-10 · 🧮 math.AP

The Kato smoothing effect for Schr{\"o}dinger equations with unbounded potentials in exterior domains

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keywords dingereffectequationsexteriorpotentialsschrsmoothingallow
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In this paper we prove the smoothing effect for solutions of Schr{\"o}dinger equations with variable coefficients and in a non trapping exterior domain. We allow quadratic potentials at infinity.

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