Counting function for interior transmission eigenvalues

Luc Robbiano (1)

1 LMV - Laboratoire de Mathématiques de Versailles

In this paper we give results on the counting function associated with the interior transmission eigenvalues. For a complex refraction index we estimate of the counting function by Ctn. In the case where the refraction index is positive we give an equivalent of the counting function.

Mots clés: Weyl law; Interior transmission eigenvalues

Domaines: Equations aux dérivées partielles [math.AP]

Luc Robbiano. Counting function for interior transmission eigenvalues. Mathematical Control and Related Fields, 2016, 6, pp.167-183. ⟨10.3934/mcrf.2016.6.167⟩. ⟨hal-00875903⟩