Regularity and energy quantization for the Yang–Mills–Dirac equations on 4-manifolds
Regularity and energy quantization for the Yang–Mills–Dirac equations on 4-manifolds
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DOI：
10.1016/j.difgeo.2010.05.001
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发表时间：
2010-08
影响因子：
0.5
通讯作者：
T. Isobe
中科院分区：
文献类型：
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作者：
T. Isobe
证明了在4维流形中，杨-米尔斯-狄拉克方程的任何有限能量弱解都是W2，2-∩C0-规范等价于C-∞解。我们还证明了四维流形上的Yang-Mills-Dirac方程的一系列解的能量量子化。
We prove that in 4-dimensional manifolds, any finite energy weak solution to the Yang–Mills–Dirac equations is W2,2∩C0-gauge equivalent to a C∞-solution. We also prove energy quantization for a sequence of solutions to the Yang–Mills–Dirac equations in 4-manifolds.