TY  - JOUR
AU  - Kleefeld, Andreas
AU  - Harris, Isaac
AU  - Ayala, Rafael Ceja
AU  - Pallikarakis, Nikolaos
TI  - Analysis of the transmission eigenvalue problem with two conductivity parameters
JO  - Applicable analysis
VL  - 103
IS  - 1
SN  - 1026-7360
CY  - London [u.a.]
PB  - Taylor & Francis
M1  - FZJ-2023-01178
SP  - 211-239
PY  - 2024
AB  - In this paper, we provide an analytical study of the transmission eigenvalue problemwith two conductivity parameters. We will assume that the underlying physical modelis given by the scattering of a plane wave for an isotropic scatterer. In previous studies,this eigenvalue problem was analyzed with one conductive boundary parameter whereaswe will consider the case of two parameters. We prove the existence and discretenessof the transmission eigenvalues as well as study the dependence on the physical parameters.We are able to prove monotonicity of the first transmission eigenvalue withrespect to the parameters and consider the limiting procedure as the second boundaryparameter vanishes. Lastly, we provide extensive numerical experiments to validatethe theoretical work.
LB  - PUB:(DE-HGF)16
UR  - <Go to ISI:>//WOS:000937750600001
DO  - DOI:10.1080/00036811.2023.2181167
UR  - https://juser.fz-juelich.de/record/996777
ER  -