Quasimodes and unstability for linear Schr\^odinger equation
Analysis of PDEs
2013-12-17 v1
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
Keywords
Cite
@article{arxiv.1312.4480,
title = {Quasimodes and unstability for linear Schr\^odinger equation},
author = {Philippe Kerdelhué},
journal= {arXiv preprint arXiv:1312.4480},
year = {2013}
}