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

Analysis of PDEs 2015-09-03 v1

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.

Keywords

Cite

@article{arxiv.1509.00751,
  title  = {Global well-posedness for the Yang-Mills equation in $4+1$ dimensions. Small energy},
  author = {Joachim Krieger and Daniel Tataru},
  journal= {arXiv preprint arXiv:1509.00751},
  year   = {2015}
}

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53 pages