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math.AP2006
The Kato smoothing effect for Schr{ö}dinger equations with unbounded potentials in exterior domains
Luc Robbiano, Claude Zuily
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…
math.AP2006★ 7 cited
Remark on the Kato smoothing effect for Schrödinger equation with superquadratic potentials
Luc Robbiano, Claude Zuily
The aim of this note is to extend recent results of Yajima-Zhang \cite{Y-Z1, Y-Z2} on the 1/2- smoothing effect for Schrödinger equation with potential growing at infinity faster t…