Title: Generalized Impedance Boundary Conditions for  the Maxwell
              Equations as  Singular Perturbation Problems

Authors:   H. Ammari and J. C. N\'ed\'elec

Abstract:
In this paper the Maxwell equations in an exterior domain
with  the generalized impedance boundary conditions of
Engquist-N\'ed\'elec are considered. The particular
form of the assumed boundary conditions can be considered to be
a singular perturbation of  the Dirichlet boundary conditions.
The convergence of the solution of the Maxwell equations with these
generalized impedance boundary conditions to that of the corresponding
Dirichlet problem is proven. The proof uses a new integral equation method
combined with results dealing with singular perturbation problems of a
class of pseudo-differential operators.

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