Global solutions of two coupled Maxwell systems in the temporal gauge
Global solutions of two coupled Maxwell systems in the temporal gauge
In this paper, we consider the Maxwell-Klein-Gordon and Maxwell-Chern-Simons-Higgs systemsin the temporal gauge. By using the fact that when the spatial gauge potentials are in the Coulomb gauge, their$\dot{H}^1$ norms can be controlled by the energy of the corresponding system and their $L^2$ norms, and the gaugeinvariance of the systems, …