inria-00347840, version 1
On the existence of transmission eigenvalues in an inhomogeneous medium
Fioralba Cakoni
a, 1Houssem Haddar 2
N° RR-6779 (2008)
Résumé : We prove the existence of transmission eigenvalues corresponding to the inverse scattering problem for isotropic and anisotropic media for both scalar Helmholtz equation and Maxwell's equations. Considering a generalized abstract eigenvalue problem, we are able to extend the ideas of Päivärinta and Sylvester to prove the existence of transmission eigenvalues for a larger class of interior transmission problems. Our analysis includes both the case of a medium with positive contrast and of a medium with negative contrast provided that this contrast is large enough.
- a – University of Delaware
- 1 : Department of Mathematical Sciences
- University of Delaware
- 2 : DEFI (INRIA Saclay - Ile de France)
- INRIA – Polytechnique - X – CNRS : UMR7641
- Domaine : Mathématiques/Analyse fonctionnelle
Mathématiques/Mathématiques générales - Mots-clés : Interior transmission problem – transmission eigenvalues – inhomogeneous medium – inverse scattering
- Référence interne : RR-6779
- inria-00347840, version 1
- http://hal.inria.fr/inria-00347840
- oai:hal.inria.fr:inria-00347840
- Contributeur : Houssem Haddar
- Soumis le : Mardi 16 Décembre 2008, 20:54:54
- Dernière modification le : Mercredi 11 Février 2009, 17:45:41
Documents associés
Exporter