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On an exterior boundary‐value problem for the time‐harmonic maxwell equations with boundary conditions for the normal components of the electric and magnetic field
Author(s) -
Kress R.,
Leis R.
Publication year - 1986
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.1670080106
Subject(s) - mathematics , maxwell's equations , boundary value problem , uniqueness , mathematical analysis , mixed boundary condition , domain (mathematical analysis) , boundary (topology) , free boundary problem
We treat the time‐harmonic Maxwell equations with the boundary condition (ν, E ) = (ν, H ) = 0 in an exterior multiply connected domain. A uniqueness result by Yee for the case of a simply connected domain is extended to multiply connected domains and existence is obtained by a boundary integral equation approach.