Stability and growth estimates for electric fields in non-conducting material dielectrics

Employing results derived by the author for solutions of an abstract integrodifferential equation in Hilbert space, we obtain stability and growth estimates for electric fields in nonconducting material dielectrics. It is assumed that a linear constitutive equation of Maxwell-Hopkinson type relates the electric field and the electric displacement field in the dielectric; specific results for a simple memory function of exponential type are given.