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

2013/01/29 by Olivier Lablée, Lablée, Olivier
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #FOS: Mathematics #Spectral Theory (math.SP) #Spectral Theory in Mathematical Physics #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.1301.6909

openalex publication_date 2013/01/29 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

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.

Citations

• Capacite et inegalite de Faber-Krahn dans l'espace euclidien

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