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arXiv · 1504.00330

Global solutions of two coupled Maxwell systems in the temporal gauge

Jianjun Yuan
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Abstract

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 $\dot{H}^1$ norms can be controlled by the energy of the corresponding system and their $L^2$ norms, and the gauge invariance of the systems, we show that finite energy solutions of these two systems exist globally in this gauge.

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Jianjun Yuan. 2015-03-28. Global solutions of two coupled Maxwell systems in the temporal gauge. https://arxiv.org/abs/1504.00330

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