Long-time existence for Yang-Mills flow

• 成果类型: Article
• 署名作者: Waldron, Alex
• 刊物名称: INVENTIONES MATHEMATICAE
• ISSN/ISSBN: 0020-9910
• DOI: 10.1007/s00222-019-00877-2
• 发表日期: 2019
• 页码: 1069-1147
• 关键词: heat-flow; blow-up

摘要

We establish that finite-time singularities do not occur in four-dimensional Yang-Mills flow, confirming the conjecture of Schlatter et al. (Am J Math 120:117-128, 1998). The proof relies on a weighted energy identity and sharp decay estimates in the neck region.