## Global well-posedness for the Yang-Mills equation in 4+1 dimensions: Small energy

We 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.

Published in:
Annals Of Mathematics, 185, 3, 831-893
Year:
2017
Publisher:
Princeton, Annal Mathematics
ISSN:
0003-486X
Laboratories: