The Kato smoothing effect for Schr{ö}dinger equations with unbounded potentials in exterior domains - Archive ouverte HAL
Article Dans Une Revue International Mathematics Research Notices Année : 2009

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

Luc Robbiano
Claude Zuily

Résumé

In this paper we prove the smoothing effect for solutions of Schr{ö}dinger equations with variable coefficients and in a non trapping exterior domain. We allow quadratic potentials at infinity.
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Dates et versions

hal-00113059 , version 1 (10-11-2006)

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Luc Robbiano, Claude Zuily. The Kato smoothing effect for Schr{ö}dinger equations with unbounded potentials in exterior domains. International Mathematics Research Notices, 2009, 9, pp.1636-1698. ⟨hal-00113059⟩
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