• Corpus ID: 238583089

M-dissipative boundary conditions and boundary tuples for Maxwell operators

@inproceedings{Eller2021MdissipativeBC,
  title={M-dissipative boundary conditions and boundary tuples for Maxwell operators},
  author={Matthias Eller and Illya M. Karabash},
  year={2021}
}
For Maxwell operators pE,Hq Ñ piε∇ ˆ H, ́iμ∇ ˆ Eq in Lipschitz domains, we describe all m-dissipative boundary conditions and apply this result to generalized impedance and Leontovich boundary conditions including the cases of singular, degenerate, and randomized impedance coefficients. To this end we construct Riesz bases in the trace spaces associated with the curl-operator and introduce a modified version of boundary triple adapted to the specifics of Maxwell equations, namely, to the… 

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