Interior Transmission Eigenvalue Problem and T-coercivity
نویسندگان
چکیده
We study the so-called interior transmission problem using the T-coercivity approach. In particular, we prove that this problem, which appears when one is interested in the reconstruction of the support of an inclusion embedded in a homogeneous medium, is of Fredholm type and that so-called transmission eigenvalues form at most a discrete set. The simple technique we propose allows to treat cases, which were not covered by existing methods, where the difference between the inclusion index and the background index changes sign.
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