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arXiv · 1312.4480

Quasimodes and unstability for linear Schr\^odinger equation

Philippe Kerdelhué
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Abstract

We consider the evolution operator exp(-it(-Delta+V)) associated with a Schr\"odinger 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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Philippe Kerdelhué. 2013-12-16. Quasimodes and unstability for linear Schr\^odinger equation. https://arxiv.org/abs/1312.4480

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