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arxiv: 1509.00751 · v1 · pith:E3ONBIIEnew · submitted 2015-09-02 · 🧮 math.AP

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

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keywords energyequationproblemsmallyang-millsassertsconsiderdata
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We consider the hyperbolic Yang-Mills equation on the Minkowski space $\R^{4+1}$. 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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