Eigenvalues for a Schrödinger operator on a closed Riemannian manifold with holes
نویسنده
چکیده
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 (λk(M))k≥1 of a Schrödinger operator P := −∆g + V on the manifold (M, g) and the eigenvalues (λk(M− A))k≥1 of P on the manifold (M− A, g) with Dirichlet boundary conditions.
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تاریخ انتشار 2013