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We analyze the accuracy and well-posedness of generalized impedance
boundary value problems in the framework of scattering problems
from unbounded highly absorbing media. We restrict ourselves in this first work
to the scalar problem (E-mode for electromagnetic scattering problems). Compared to earlier works, the unboundedness of the rough absorbing layer introduces severe difficulties
in the analysis for the generalized impedance boundary conditions, since
classical compactness arguments are no...
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