Long-time existence for Yang–Mills flow

Long-time existence for Yang–Mills flow
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杨-米尔斯流长期存在

DOI:
10.1007/s00222-019-00877-2
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发表时间:
2016
影响因子:
3.1
通讯作者:
Alex Waldron
Alex Waldron
中科院分区:
数学1区
文献类型:
--
作者:
Alex Waldron

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我们建立了有限时间奇点不发生在四维杨米尔斯流,证实了Schlatter等人的猜想(美国数学杂志120:117-128,1998)。该证明依赖于颈部区域的加权能量恒等式和急剧衰减估计。
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.