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arXiv · 1804.00078

On global dynamics of the Maxwell-Klein-Gordon equations

Shiwu Yang·Pin Yu
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Abstract

On the three dimensional Euclidean space, for data with finite energy, it is well-known that the Maxwell-Klein-Gordon equations admit global solutions. However, the asymptotic behaviours of the solutions for the data with non-vanishing charge and arbitrary large size are unknown. It is conjectured that the solutions disperse as linear waves and enjoy the so-called peeling properties for pointwise estimates. We provide a gauge independent proof of the conjecture.

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Shiwu Yang, Pin Yu. 2018-03-30. On global dynamics of the Maxwell-Klein-Gordon equations. https://arxiv.org/abs/1804.00078

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