Asymptotics of the number of the interior transmission eigenvalues
Vesselin Petkov
Université de Bordeaux, Talence, FranceGeorgi Vodev
Université de Nantes, France
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Abstract
We prove Weyl asymptotics , for all , for the counting function , , of the interior transmission eigenvalues (ITE), . Here denotes the space dimension and is such that there are no (ITE) in the region for some .
Cite this article
Vesselin Petkov, Georgi Vodev, Asymptotics of the number of the interior transmission eigenvalues. J. Spectr. Theory 7 (2017), no. 1, pp. 1–31
DOI 10.4171/JST/154