Parabolic transmission eigenvalue-free regions in the degenerate isotropic case

Georgi Vodev (1)

1 LMJL - Laboratoire de Mathématiques Jean Leray

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.

Domaines: Equations aux dérivées partielles [math.AP]; Physique mathématique [math-ph]

Georgi Vodev. Parabolic transmission eigenvalue-free regions in the degenerate isotropic case. Asymptotic Analysis, 2018, 106, pp.147-168. ⟨hal-01451707v2⟩