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{\(T\)}-coercivity for scalar interface problems between dielectrics and metamaterials. (English) Zbl 1276.78008
The authors study mathematical aspects of well-posedness of boundary conditions for harmonic electromagnetic fields at dielectric-metamaterial interfaces. They set up and analyze the corresponding criteria for different boundary geometries that involve the knowledge of local material coefficients.

MSC:
78A48 Composite media; random media in optics and electromagnetic theory
35Q60 PDEs in connection with optics and electromagnetic theory
35Q61 Maxwell equations
35J20 Variational methods for second-order elliptic equations
78A97 Mathematically heuristic optics and electromagnetic theory (must also be assigned at least one other classification number in Section 78-XX)
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