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@INPROCEEDINGS{Kleefeld:811724,
author = {Kleefeld, Andreas},
title = {{T}he interior transmission eigenvalue problem for an
inhomogeneous media with a conductive boundary},
reportid = {FZJ-2016-04108},
year = {2016},
abstract = {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.},
month = {Jul},
date = {2016-07-25},
organization = {14th international conference on
Integral Methods in Science and
Engineering, Padova (Italy), 25 Jul
2016 - 29 Jul 2016},
subtyp = {After Call},
cin = {JSC},
cid = {I:(DE-Juel1)JSC-20090406},
pnm = {511 - Computational Science and Mathematical Methods
(POF3-511)},
pid = {G:(DE-HGF)POF3-511},
typ = {PUB:(DE-HGF)6},
url = {https://juser.fz-juelich.de/record/811724},
}