Asymptotics of the number of the interior transmission eigenvalues

  • Vesselin Petkov

    Université de Bordeaux, Talence, France
  • Georgi Vodev

    Université de Nantes, France

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