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

• 成果类型: Article
• 署名作者: Krieger, Joachim; Tataru, Daniel
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• DOI: 10.4007/annals.2017.185.3.3
• 发表日期: 2017
• 页码: 831-893
• 关键词: klein-gordon equation; REGULARITY; EXISTENCE; SCATTERING; higgs

摘要

We consider the hyperbolic Yang-Mills equation on the Minkowski space R4+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.