Abstract :
In this paper we study the following nonlinear Maxwellʹs equations, Et+σ(x, E) E= ×H+F, Ht+ ×E=0, where σ(x, s) is a monotone graph of s. It is shown that the system has a unique weak solution. Moreover, the limit of the solution as →0 converges to the solution of quasi-stationary Maxwellʹs equations.
