Instabilité spectrale semiclassique pour des opérateurs non-autoadjoints I : un modèle

Abstract

In this work, we consider a simple differential operator as well as perturbations. While the spectrum of the unperturbed operator is confined to a line inside the pseudospectrum, we show for the perturbed operators that the eigenvalues are distributed inside the pseudospectrum according to a bidimensional Weyl law.