The electromagnetic scattering problem with generalized impedance boundary conditions (Q2814663)

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scientific article; zbMATH DE number 6596748
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English
The electromagnetic scattering problem with generalized impedance boundary conditions
scientific article; zbMATH DE number 6596748

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    The electromagnetic scattering problem with generalized impedance boundary conditions (English)
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    22 June 2016
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    Maxwell's equations
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    generalized impedance boundary conditions
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    electromagnetic scattering
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    Helmholtz' decomposition
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    Fredholm property
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    The author studies the well-posedness of the electromagnetic scattering problem in the harmonic regime in the case where the scatterer is characterised by a so-called generalized impedance boundary condition. Some general conditions on the boundary condition are described under which the scattering problem has at most one solution. Moreover, for three different second order surface differential operators, conditions are obtained to guarantee the well-posedness of the problem.
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