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@ARTICLE{Kleefeld:996777,
      author       = {Kleefeld, Andreas and Harris, Isaac and Ayala, Rafael Ceja
                      and Pallikarakis, Nikolaos},
      title        = {{A}nalysis of the transmission eigenvalue problem with two
                      conductivity parameters},
      journal      = {Applicable analysis},
      volume       = {103},
      number       = {1},
      issn         = {1026-7360},
      address      = {London [u.a.]},
      publisher    = {Taylor $\&$ Francis},
      reportid     = {FZJ-2023-01178},
      pages        = {211-239},
      year         = {2024},
      abstract     = {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.},
      cin          = {JSC},
      ddc          = {510},
      cid          = {I:(DE-Juel1)JSC-20090406},
      pnm          = {5112 - Cross-Domain Algorithms, Tools, Methods Labs (ATMLs)
                      and Research Groups (POF4-511)},
      pid          = {G:(DE-HGF)POF4-5112},
      typ          = {PUB:(DE-HGF)16},
      UT           = {WOS:000937750600001},
      doi          = {10.1080/00036811.2023.2181167},
      url          = {https://juser.fz-juelich.de/record/996777},
}