2D Maxwell Equations

In the third part of this volume, we focus on 2D Maxwell equations. Fascinating in themselves, Maxwell’s equations probably provide the most important example of a boundary-value problem for which the natural energy space is the space H(curl, ) — the space of all square integrable functions for which only some combinations of first derivatives, namely the components of the curl of the solution, are square integrable. We shall begin with a short introduction to Maxwell’s equations and discuss possible variational formulations.