Krieger, JoachimTataru, Daniel2015-09-032015-09-032015-09-03201710.4007/annals.2017.185.3.3https://infoscience.epfl.ch/handle/20.500.14299/117561WOS:000403468100003We consider the hyperbolic Yang-Mills equation on the Minkowski space $\reels^{4+1}$. 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.text::journal::journal article::research article