2015/03/28 by Jianjun Yuan, Yuan, Jianjun
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #math.AP
paper · pdf · doi:10.48550/arxiv.1504.00330
arxiv created 2015/03/28 · arxiv updated 2015/04/02
In this paper, we consider the Maxwell-Klein-Gordon and Maxwell-Chern-Simons-Higgs systems in the temporal gauge. By using the fact that when the spatial gauge potentials are in the Coulomb gauge, their H1 norms can be controlled by the energy of the corresponding system and their L2 norms, and the gauge invariance of the systems, we show that finite energy solutions of these two systems exist globally in this gauge.