Existence and Uniqueness of Solution for a System of Maxwell's Equations in a Perfect Conductor Medium

We investigate, in this paper, questions related to existence and uniqueness of solution for a system of Maxwell's equations in a perfect conductor medium. This study will be based on the characterization of the functional spaces of electromagnetic origin and application of the theory of semigroups of linear operators. We present results of existence of solution using different techniques from those used by other authors.