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Energy dispersed solutions for the (4 + 1)-dimensional Maxwell-Klein-Gordon equation

Energy dispersed solutions for the (4 + 1)-dimensional Maxwell-Klein-Gordon equation

This article is devoted to the mass-less energy critical Maxwell-Klein-Gordon system in $4+1$ dimensions. In earlier work of the second author, joint with Krieger and Sterbenz, we have proved that this problem has global well-posedness and scattering in the Coulomb gauge for small initial data. This article is the second …