Eigenvalues for Maxwell’s equations with dissipative boundary conditions
Ferruccio Colombini, Vesselin M. Petkov, Jeffrey B. Rauch · Asymptotic Analysis · 2016
Let [Formula: see text], [Formula: see text], be the semigroup generated by Maxwell’s equations in an exterior domain [Formula: see text] with dissipative boundary condition [Formula: see text], [Formula: see text], [Formula: see text]. We prove that if [Formula: see text] is nowhere equal to 1, then for every [Formula: see text] and every [Formula: see text] the eigenvalues of [Formula: see text] lie in the region [Formula: see text], where [Formula: see text], [Formula: see text].