Eigenvalues for a Schrodinger operator on a closed Riemannian manifold with holes

Olivier Lablée (1)

1 IF - Institut Fourier

In this article we consider a closed Riemannian manifold (M,g) and A a subset of M. The purpose of this article is the comparison between the eigenvalues of a Schrodinger operator on the manifold (M,g) and the eigenvalues on the manifold (M-A,g) with Dirichlet boundary conditions.

Keywords: perturbation; Schrodinger operator; eigenvalues; capacity; perturbation.

Domains: Spectral Theory [math.SP]

Olivier Lablée. Eigenvalues for a Schrodinger operator on a closed Riemannian manifold with holes. 2013. ⟨hal-00782066⟩