On the scaling critical regularity of the Yang-Mills system in the Lorenz gauge

Seokchang Hong

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arXiv · 2005.06323

On the scaling critical regularity of the Yang-Mills system in the Lorenz gauge

Seokchang Hong

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Abstract

In this paper, we prove the local well-posedness of the Yang-Mills system in the Lorenz gauge for initial data in the Besov space $B^\frac12_{2,1}\times B^{-\frac12}_{2,1}$ with additional angular regularity. To the best of our knowledge, our study is the first result on $(1+3)$ dimensional Yang-Mills system with initial data in the scaling critical regularity.

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Seokchang Hong. 2020-05-13. On the scaling critical regularity of the Yang-Mills system in the Lorenz gauge. https://arxiv.org/abs/2005.06323

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