A Note on the smoothness of flow maps for the Yang-Mills system in the Lorenz gauge

Seokchang Hong

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arXiv · 2007.00531

A Note on the smoothness of flow maps for the Yang-Mills system in the Lorenz gauge

Seokchang Hong

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Abstract

We study the failure of the smoothness of flow maps for the $(1+3)$ dimensional Yang-Mills system in the Lorenz gauge by Knapp type counterexamples. This shows a gap between the scaling critical regularity exponents and the best attainable regularity via Picard's iteration in the Yang-Mills system under the Lorenz gauge condition.

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Seokchang Hong. 2020-07-01. A Note on the smoothness of flow maps for the Yang-Mills system in the Lorenz gauge. https://arxiv.org/abs/2007.00531

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