Weyl Formula for the Negative Dissipative Eigenvalues of Maxwell’s Equations
نویسنده
چکیده
Let V (t) = etGb , t ≥ 0, be the semigroup generated by Maxwell’s equations in an exterior domain Ω ⊂ R3 with dissipative boundary condition Etan − γ(x)(ν ∧ Btan) = 0, γ(x) > 0, ∀x ∈ Γ = ∂Ω. We study the case when Ω = {x ∈ R3 : |x| > 1} and γ 6= 1 is a constant. We establish a Weyl formula for the counting function of the negative real eigenvalues of Gb.
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