Quasimodes and unstability for linear Schrôdinger equation

preprint2013arXivOpen access

Abstract

We consider the evolution operator exp(-it(-Delta+V)) associated with a Schrödinger operator on a Riemannian manifold (M,g). We are interested in the dependence of this operator on V running in L^p(M). Under a geometrical hypothetis, we show the unstability for p

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