# On global dynamics of the Maxwell–Klein–Gordon equations

@article{Yang2019OnGD, title={On global dynamics of the Maxwell–Klein–Gordon equations}, author={Shiwu Yang and Pin Yu}, journal={Cambridge Journal of Mathematics}, year={2019} }

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.

## 10 Citations

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