On the exterior boundary-value problem for the time-harmonic Maxwell equations

DOI10.1016/0022-247X(79)90285-3zbMath0424.35031MaRDI QIDQ1134905

Rainer Kress, Werner Knauff

Publication date: 1979

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

integral equation approachexterior boundary-value problemscalar Helmholtz equationFredholm's alternativeelectromagnetic reflection at perfect conductorsvector Helmholtz equation

Mathematics Subject Classification ID

(Semi-) Fredholm operators; index theories (47A53) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Electromagnetic theory (general) (78A25)

Related Items (16)

Extension of the Günter derivatives to the Lipschitz domains and application to the boundary potentials of elastic waves ⋮ Boundary integral equations for magnetic screens in ℝ³ ⋮ A Galerkin collocation method for some integral equations of the first kind ⋮ Transmission problems for the vector Helmholtz equation ⋮ On the existence of a solution to a singular integral equation in electromagnetic reflection ⋮ A boundary integral equation method for a Neumann boundary problem for force-free fields ⋮ Electromagnetic waves in an inhomogeneous medium ⋮ Strongly elliptic boundary integral equations for electromagnetic transmission problems ⋮ Eine Integralgleichungsmethode für akustische Reflexionsprobleme an lokal gestörten Ebenen ⋮ The impedance boundary value problem for the time harmonic Maxwell equations ⋮ A singular perturbation problem for linear operators with an application to electrostatic and magnetostatic boundary and transmission problems ⋮ Solution procedures for three-dimensional eddy current problems ⋮ The vector Helmholtz equation revisited: inverse obstacle scattering ⋮ The integral equation method in electromagnetic scattering ⋮ On an integral equation for the two-dimensional exterior Stokes problem ⋮ Generalized impedance boundary conditions for the maxwell equations as singular perturbations problems

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