Smoothing effect for Schrödinger boundary value problems
Nicolas Burq
Abstract
We show the necessity of the non trapping condition for the plain smoothing effect (H1/2) for Schrödinger equation with Dirichlet boundary conditions in exterior problems. We also give a class of trapped obstacles (Ikawa's example) for which we can prove a weak (H1/2 - ε) smoothing effect.
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