Steklov–Poincaré Operator for A System of Coupled Abstract Cauchy Problems.

We are interested in a coupled system of two abstract Cauchy problems; one of them is posed in small time interval. The aim is to obtain a condition that replaces the effect of this small interval. This condition is constructed from an approximation of Steklov–Poincaré operator. In this paper, we analyze the construction and the approximation of this operator. Finally, the results obtained will be applied to a problem of diffraction of an electromagnetic wave by a perfectly conducting planar obstacle coated with thin layer of dielectric material. [ABSTRACT FROM AUTHOR]