Quasimodes and unstability for linear Schrôdinger equation

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

References in corpus (1)

• Bilinear Eigenfunction Estimates and the Nonlinear Schroedinger Equation on Surfaces