Asymptotics of the number of the interior transmission eigenvalues

We prove a Weyl asymptotics $N(r) = c r^d + {\mathcal O}_{\epsilon}(r^{d - \kappa + \epsilon})$, $\forall\, 0 1$, of the interior transmission eigenvalues (ITE), $\lambda_j$. Here $0 0$.

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