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Unconditional global well-posedness in energy space for the Maxwell-Klein-Gordon system in temporal gauge

2015/04/02 by Pecher, Hartmut
#35L70 #35Q40 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1504.00506

Abstract

The Maxwell-Klein-Gordon system in temporal gauge is unconditionally globally well-posed in energy space, especially uniqueness holds in the natural solution space. This improves earlier results where uniqueness was only shown in a suitable subspace. It is also locally well-posed for large data below energy space.

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