Global existence of the yang-mills flow in four dimensions

Journal fur die Reine und Angewandte Mathematik

Volumn , Issue 479, 1996, Pages 133-148

  Schlatter, Andreas ^a  

^a NONE

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[No Author keywords available]

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EID: 21444459294     PISSN: 00754102     EISSN: None     Source Type: Journal    
DOI: 10.1515/crll.1996.479.133     Document Type: Article

References (15)

1. [AHS] M. Atyiah, N. Hitchin, I. Singer, Self-duality in four dimensional Riemannian geometry, Proc. Roy. Soc. London (A) (1978), 425-461.
2. [Ch-D] Y. Chen, W.-Y. Ding, Blow up and global existence for heat flows of harmonic maps, Invent, math. 99 (1990), 567-578.
3. [Ch-D-Y] K.-C. Chang, W.- Y. Ding, R. Ye, Finite-time blow up of the heat flow of harmonic maps from surfaces, J. Diff. Geom. 36 (1992), 507-515.
4. [CS] Y.-M. Chen, Ch.-L. Shen, Monotonicity formula and small action regularity for Yang-Mills flows in higher dimensions, Calc. Var. 2 (1994), 389-403.
5. [FU] D. Freed, K. Uhlenbeck, Instantons and Four-Manifolds, Springer, New York 1984.
6. [GT] D. Gilbarg, N. S. Trudinger, Elliptic Partial Differential Equations of Second Order, second edition, Springer, New York 1983.
7. [L] B. Lawson, The theory of gauge fields in four dimensions, CBMS Regional Conf. Ser. 58, Amer. Math. Soc., Providence 1987.
8. [M] J. Moser, A Harnack inequality for parabolic differential equations, Comm. Pure Appl. Math. 17 (1964), 101-134.
9. [N] H. Naito, Finite Time Blowing-up for the Yang-Mills Gradient Flow in Higher Dimensions, Preprint, 1993.
10. [Sch] A. Schlatter, Long Time Behaviour of the Yang-Mills Flow in Four Dimensions, Ph. D. thesis ETHZ, 1994.
11. 1] M. Struwe, The evolution of harmonic maps of Riemannian surfaces, Comm. Math. Helv. 60 (1985), 558-581.
12. 2] M. Struwe, The Yang-Mills flow in four dimensions, Calc. Var. 2 (1994), 123-150.
13. 3] M. Struwe, Geometric Evolution Equations, Lect. notes ETHZ, 1993.
14. [U] K. Uhlenbeck, Removable singularities in Yang-Mills fields, Comm. Math. Phys. 83 (1982), 11-30.
15. p-bounds on Curvature, Comm. Math. Phys. 83 (1982), 31-42.