Segal, Irving The Cauchy problem for the Yang-Mills equations. (English) Zbl 0416.58027 J. Funct. Anal. 33, 175-194 (1979). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 2 ReviewsCited in 43 Documents MSC: 58J99 Partial differential equations on manifolds; differential operators 22E70 Applications of Lie groups to the sciences; explicit representations 58J90 Applications of PDEs on manifolds 81T08 Constructive quantum field theory 35Q99 Partial differential equations of mathematical physics and other areas of application Keywords:Cauchy problem; Yang-Mills equations; gauge group; temporal gauge × Cite Format Result Cite Review PDF Full Text: DOI References: [1] Atiyah, M. F.; Hitchin, N. J.; Singer, I. M., (Proc. Nat. Acad. Sci. USA, 74 (1977)), 2662-2663 · Zbl 0356.58011 [2] Birkhoff, G., Trans. Amer. Math. Soc., 43, 61-101 (1938) · JFM 64.1092.02 [3] Calderon, A. P., (Proc. Symp. Pure Math., Vol. IV (1961), Amer. Math. Soc: Amer. Math. Soc Providence, R.I), 33-49 [4] Choquet-Bruhat, Y., C. R. Acad. Sci. Paris, 274, 843 (1974), Ser. A [5] Gell-Mann, M.; Glashow, S. L., Ann. Physics, 16, 437 (1961) [6] Jackiw, R.; Rebbi, C., Phys. Lett. B, 67, 189 (1977) [7] Lazard, M.; Tits, J. L., Topology, 4, 315-322 (1966) · Zbl 0156.03203 [8] Segal, I., Ann. of Math., 78, 339-364 (1963) · Zbl 0204.16004 [9] Segal, I., Ann. Sci. École Norm. Sup., 1, 469-497 (1968) [10] Utiyama, R., Phys. Rev., 101, 1597 (1956) · Zbl 0070.22102 [11] Weil, A., Sur les espaces a structures uniformes, (Act. Sci. Ind. (1938), Hermann: Hermann Paris), 551 · Zbl 0019.18604 [12] Weyl, H., Space, time, and matter (1921), Dutton: Dutton New York [13] Yang, C. N.; Mills, R. L., Phys. Rev., 96, 191 (1954) · Zbl 1378.81075 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.