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@ARTICLE{Harris:857115,
      author       = {Harris, I. and Kleefeld, A.},
      title        = {{T}he inverse scattering problem for a conductive boundary
                      condition and transmission eigenvalues},
      journal      = {Applicable analysis},
      volume       = {99},
      number       = {3},
      issn         = {1563-504X},
      address      = {London},
      publisher    = {Taylor $\&$ Francis Group},
      reportid     = {FZJ-2018-06360},
      pages        = {508-529},
      year         = {2020},
      abstract     = {In this paper, we consider the inverse scattering problem
                      associated with an inhomogeneous media with a conductive
                      boundary. In particular, we are interested in two problems
                      that arise from this inverse problem: the inverse
                      conductivity problem and the corresponding interior
                      transmission eigenvalue problem. The inverse conductivity
                      problem is to recover the conductive boundary parameter from
                      the measured scattering data. We prove that the measured
                      scatted data uniquely determine the conductivity parameter
                      as well as describe a direct algorithm to recover the
                      conductivity. The interior transmission eigenvalue problem
                      is an eigenvalue problem associated with the inverse
                      scattering of such materials. We investigate the convergence
                      of the eigenvalues as the conductivity parameter tends to
                      zero as well as prove existence and discreteness for the
                      case of an absorbing media. Lastly, several numerical and
                      analytical results support the theory and we show that the
                      inside–outside duality method can be used to reconstruct
                      the interior conductive eigenvalues.},
      cin          = {JSC},
      ddc          = {510},
      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)16},
      UT           = {WOS:000507308100009},
      doi          = {10.1080/00036811.2018.1504028},
      url          = {https://juser.fz-juelich.de/record/857115},
}