Asymptotics of the number of the interior transmission eigenvalues

Vesselin Petkov, Georgi Vodev

We prove a Weyl asymptotics $N(r)=c{r}^d+{\mathcal{O}}_{\epsilon }(r^{d-\kappa +\epsilon })$, $\forall 0<\epsilon \ll 1$, for the counting function $N(r) = \sharp\{λ_j \in {\mathbb C} \setminus \{0\}:\: |…