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@ARTICLE{Harris:1045757,
      author       = {Harris, Isaac and Kleefeld, Andreas and Lee, Heejin},
      title        = {{O}n the transmission eigenvalues for scattering by a
                      clamped planar region},
      journal      = {Inverse problems and imaging},
      volume       = {21},
      number       = {0},
      issn         = {1930-8337},
      publisher    = {AIMS},
      reportid     = {FZJ-2025-03588},
      pages        = {152-172},
      year         = {2026},
      abstract     = {In this paper, we consider a new transmission eigenvalue
                      problem derived from the scattering by a clamped cavity in a
                      thin elastic material. Scattering in a thin elastic material
                      can be modeled by the Kirchhoff–Love infinite plate
                      problem. This results in a biharmonic scattering problem
                      that can be handled by operator splitting. The main novelty
                      of this transmission eigenvalue problem is that it is posed
                      in all of $\mathbb{R}^2$. This adds analytical and
                      computational difficulties in studying this eigenvalue
                      problem. Here, we prove that the eigenvalues can be
                      recovered from the far field data as well as discreteness of
                      the transmission eigenvalues. We provide some numerical
                      experiments via boundary integral equations to demonstrate
                      the theoretical results. We also conjecture monotonicity
                      with respect to the measure of the scatterer from our
                      numerical experiments.},
      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:001562637800001},
      doi          = {10.3934/ipi.2025038},
      url          = {https://juser.fz-juelich.de/record/1045757},
}