The Kato smoothing effect for Schrödinger equations with unbounded potentials in exterior domains

2006/11/10 by Robbiano, Luc, Zuily, Claude
#35B65 #35G15 #35Q40 #35Q55 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.math/0611314

Abstract

In this paper we prove the smoothing effect for solutions of Schrödinger equations with variable coefficients and in a non trapping exterior domain. We allow quadratic potentials at infinity.

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