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Let $V(t) = e^{tG_b},\: t \geq 0,$ be the semigroup generated by Maxwell'sequations in an exterior domain $\Omega \subset {\mathbb R}^3$ with dissipativeboundary condition $E_{tan}- \gamma(x) (\nu \wedge B_{tan}) = 0, \gamma(x) > 0,\forall x \in \Gamma = \partial \Omega.$ We study the case when $\Omega = \{x\in {\mathbb R^3}:\: |x| > 1\}$ and $\gamma \neq 1$ is a constant. We establisha Weyl formula for the counting function of the negative real eigenvalues of$G_b.$

Weyl formula for the negative dissipative eigenvalues of Maxwell's equations

Weyl formula for the negative dissipative eigenvalues of Maxwell's equations