Study of some proprieties of the nonlinear Maxwell/Plasma operator modelling breakdown

The interaction phenomenon between High Power Microwave and cold plasma is governed by the Maxwell equations coupled with a fluid description of the plasma. We present in this paper a study of the operator A associated with the system of Maxwell/Plasma equations. As an application of this study, an existence and uniqueness result will be given under some assumptions on the matrices of permittivity, permeability, and on the parameters describing the plasma.