Long-time existence for Yang-Mills flow
Differential Geometry
2023-05-24 v4 Analysis of PDEs
Abstract
We establish that finite-time singularities do not occur in four-dimensional Yang-Mills flow, confirming the conjecture of Schlatter, Struwe, and Tahvildar-Zadeh. The proof relies on a weighted energy identity and sharp decay estimates in the neck region.
Keywords
Cite
@article{arxiv.1610.03424,
title = {Long-time existence for Yang-Mills flow},
author = {Alex Waldron},
journal= {arXiv preprint arXiv:1610.03424},
year = {2023}
}
Comments
Final version accepted in Inventiones. 56pp