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

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

2006-11-10

arxiv.org/abs/math/0611314v1

Mathematics

Analysis of PDEs

Scientific paper

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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