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Parabolic transmission eigenvalue-free regions in the degenerate isotropic case

Article type: Research Article

Authors: Vodev, Georgi

Affiliations: Laboratoire de Mathématiques Jean Leray, Université de Nantes, 2 rue de la Houssinière, BP 92208, 44322 Nantes Cedex 03, France. E-mail: Georgi.Vodev@univ-nantes.fr

Abstract: We study the location of the transmission eigenvalues in the isotropic case when the restrictions of the refraction indices on the boundary coincide. Under some natural conditions we show that there exist parabolic transmission eigenvalue-free regions.

Keywords: Transmission eigenvalues, eigenvalue-free regions

DOI: 10.3233/ASY-171443

Journal: Asymptotic Analysis, vol. 106, no. 3-4, pp. 147-168, 2018

Published: 5 February 2018
Price: EUR 27.50
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