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We discuss the radiation problem of total reflection for a time-harmonic generalized Maxwell system in a nonsmooth exterior domain Ω ⊂ RN , N ≥ 3 , with nonsmooth inhomogeneous, anisotropic coefficients converging near infinity with a rate r−τ , τ > 1 , towards the identity. By means of the limiting absorption principle a Fredholm alternative holds true and(More)
We prove polynomial and exponential decay at infinity of eigen-vectors of partial differential operators related to radiation problems for time-harmonic generalized Maxwell systems in an exterior domain Ω ⊂ RN , N ≥ 1, with non-smooth inhomogeneous, anisotropic coefficients converging near infinity with a rate r−τ , τ > 1, towards the identity. As a(More)
Let Ω ⊂ R3 be a bounded weak Lipschitz domain with boundary Γ := ∂ Ω divided into two weak Lipschitz submanifolds Γτ and Γν and let denote an L∞-matrix field inducing an inner product in L(Ω). The main result of this contribution is the so called ‘Maxwell compactness property’, that is, the Hilbert space { E ∈ L(Ω) : rotE ∈ L(Ω), div E ∈ L(Ω), ν × E|Γτ = 0,(More)
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