On the asymptotics of a Robin eigenvalue problem

Fioralba Cakoni 1 Nicolas Chaulet 2 Houssem Haddar 2
2 DeFI - Shape reconstruction and identification
CMAP - Centre de Mathématiques Appliquées - Ecole Polytechnique, Inria Saclay - Ile de France
Abstract : The considered Robin problem can formally be seen as a small perturbation of a Dirichlet problem. However, due to the sign of the impedance value, its associated eigenvalues converge point-wise to −∞ as the perturbation goes to zero. We prove in this case that Dirichlet eigenpairs are the only accumulation points of the Robin eigenpairs with normalized eigenvectors. We then provide a criterion to select accumulating sequences of eigenvalues and eigenvectors and exhibit their full asymptotic with respect to the small parameter.
Document type :
Journal articles
Complete list of metadatas

https://hal.inria.fr/hal-00907355
Contributor : Houssem Haddar <>
Submitted on : Thursday, November 21, 2013 - 10:41:36 AM
Last modification on : Wednesday, March 27, 2019 - 4:08:29 PM

Links full text

Identifiers

Collections

Citation

Fioralba Cakoni, Nicolas Chaulet, Houssem Haddar. On the asymptotics of a Robin eigenvalue problem. Comptes Rendus Mathématique, Elsevier Masson, 2013, 351, pp.517-521. ⟨10.1016/j.crma.2013.07.022⟩. ⟨hal-00907355⟩

Share

Metrics

Record views

484