Global existence of the equivariant Yang-Mills heat flow in four space dimensions

American Journal of Mathematics

Volumn 120, Issue 1, 1998, Pages 117-128

  Schlatter, Andreas E ^a   Struwe, Michael ^b   Tahvildar Zadeh, A Shadi ^c  

^a Mathematik ETH Zentrum ^*  (Switzerland)

^b ETH ZURICH   (Switzerland)

^c PRINCETON UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000656371     PISSN: 00029327     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (12)

1. Th. Cazenave, J. Shatah, and A. S. Tahvildar-Zadeh, Harmonic maps of the hyperbolic space and development of singularities in wave maps and Yang-Mills fields, preprint, March, 1996.
2. K.-C. Chang, W.-Y. Ding, R. Ye, Finite-time blow up of the heat flow of harmonic maps from surfaces, J. Differential Geom. 36 (1992), 507-515.
3. Y. Chen and W.-Y. Ding, Blow up and global existence for heat flows of harmonic maps, Invent. Math. 99 (1990), 567-578.
4. Y.-M. Chen and Ch.-L. Shen, Monotonicity formula and small action regularity for Yang-Mills flows in higher dimensions, Calc. Var. Partial Differential Equations 2 (1994), 389-403.
5. S. K. Donaldson and P. Kronheimer, The topology of four-manifolds, Clarendon Press, New York, 1990.
6. O. Dumitrascu, Soluţii echivariante ale ecuaţiilor Yang-Mills, Stud. Cerc. Mat. 34 (1982), 329-333.
7. M. Itoh, Invariant connections and Yang-Mills solutions, Trans. Amer. Math. Soc. 267 (1981), 229-236.
8. A. Jaffe, C. Taubes, Vortices and Monopoles, Birkhäuser, Basel, 1980.
9. A. Schlatter, Long time behaviour of the Yang-Mills flow in four dimensions, Ph.D. thesis. Eidgenössische Technische Hochschule Zürich, 1994.
10. A. Schlatter, Global existence of the Yang-Mills flow in four dimensions. J. Reine Angew. Math. (to appear).
11. M. Struwe, The Yang-Mills flow in four dimensions, Calc. Var. Partial Differential Equations 2 (1994), 123-150.
12. M. Struwe, Geometric evolution problems, IAS/Park City Math. Ser. 2 (R. Hard and M. Wolf, eds.), Amer. Math. Soc., Providence, RI, 259-339.