Existence and regularity results for Maxwell's equations in the quasi-static limit
Existence and regularity results for Maxwell's equations in the quasi-static limit
Abstract We prove the existence of solutions of Maxwell's equations for a conducting medium whose constitutive parameters are piecewise constant on R 3 , and then examine the convergence of these solutions in the quasi-static limit in which displacement currents are neglected. Secondly, we examine the regularity of the limiting …