TY  - CONF
AU  - Kleefeld, Andreas
TI  - The interior transmission eigenvalue problem for an inhomogeneous media with a conductive boundary
M1  - FZJ-2016-04108
PY  - 2016
AB  - In this talk, the interior transmission eigenvalue problem for aninhomogeneous media with a conductive boundary condition is investigated. Discreteness and existence of the interior transmission eigenvalues is shown. The inverse spectral problem of gaining information about the material properties fromthe interior transmission eigenvalues is illustrated. In particular, it is proven that the first interior transmission eigenvalue is a monotonic function of the refractive index and the boundary conductivity parameter, and a uniqueness result for constant coefficients is obtained. Additionally, numerical examples in three dimensions are presented to demonstrate the theoretical results.
T2  - 14th international conference on Integral Methods in Science and Engineering
CY  - 25 Jul 2016 - 29 Jul 2016, Padova (Italy)
Y2  - 25 Jul 2016 - 29 Jul 2016
M2  - Padova, Italy
LB  - PUB:(DE-HGF)6
UR  - https://juser.fz-juelich.de/record/811724
ER  -