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000996777 1001_ $$0P:(DE-Juel1)169421$$aKleefeld, Andreas$$b0$$ufzj
000996777 245__ $$aAnalysis of the transmission eigenvalue problem with two conductivity parameters
000996777 260__ $$aLondon [u.a.]$$bTaylor & Francis$$c2024
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000996777 520__ $$aIn this paper, we provide an analytical study of the transmission eigenvalue problemwith two conductivity parameters. We will assume that the underlying physical modelis given by the scattering of a plane wave for an isotropic scatterer. In previous studies,this eigenvalue problem was analyzed with one conductive boundary parameter whereaswe will consider the case of two parameters. We prove the existence and discretenessof the transmission eigenvalues as well as study the dependence on the physical parameters.We are able to prove monotonicity of the first transmission eigenvalue withrespect to the parameters and consider the limiting procedure as the second boundaryparameter vanishes. Lastly, we provide extensive numerical experiments to validatethe theoretical work.
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000996777 7001_ $$0P:(DE-HGF)0$$aHarris, Isaac$$b1$$eCorresponding author
000996777 7001_ $$0P:(DE-HGF)0$$aAyala, Rafael Ceja$$b2
000996777 7001_ $$0P:(DE-HGF)0$$aPallikarakis, Nikolaos$$b3
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