Some Remarks on Vector Potentials for Maxwell's Equations in Space-Time Carnot Groups
In this paper we prove a -convergence result for time-depending variational functionals in a space-time Carnot group arising in the study of Maxwell's equations in the group. Indeed, a Carnot groups (a connected simply connected nilpotent stratified Lie group) can be endowed with a complex of ``intrinsic'' differential forms that provide the natural setting for a class of ``intrinsic'' Maxwell's equations. Our main results states precisely that a the vector potentials of a solution of Maxwell's...