Global well-posedness for the Yang-Mills equation in 4+14+1 dimensions. Small energy

preprint2015arXivOpen access

Abstract

We consider the hyperbolic Yang-Mills equation on the Minkowski space R4+1\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.

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