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arXiv · 1509.00751

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

Joachim Krieger·Daniel Tataru
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Abstract

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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Joachim Krieger, Daniel Tataru. 2015-09-02. Global well-posedness for the Yang-Mills equation in $4+1$ dimensions. Small energy. https://arxiv.org/abs/1509.00751

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