Abstract
We consider the hyperbolic Yang-Mills equation on the Minkowski space $\mathbb{R}^{4+1}$. Our main result asserts that this problem is globally well-posed for all initial data whose energy is sufficiently small. This solves a longstanding open problem.
Citation
Joachim Krieger. Daniel Tataru. "Global well-posedness for the Yang-Mills equation in $4+1$ dimensions. Small energy." Ann. of Math. (2) 185 (3) 831 - 893, May 2017. https://doi.org/10.4007/annals.2017.185.3.3
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