Finite-time blow-up of the heat flow of harmonic maps from surfaces

Journal of Differential Geometry

Volumn 36, Issue 2, 1992, Pages 507-515

  Chang, Kung Ching ^a,b,c   Ding, Wei Yue ^a,b,c   Ye, Rugang ^a,b,c  

^a PEKING UNIVERSITY   (China)

^b Academia Slnica ^*  (China)

^c UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84972521494     PISSN: 0022040X     EISSN: 1945743X     Source Type: Journal    
DOI: 10.4310/jdg/1214448751     Document Type: Article

References (8)

1. 2, Nemantics, J.-M. Coron et al. ed., Kluwer Academic Publishers, 1990, 37-48.
2. Y. Chen & W.-Y. Ding, Blow-up and global existence for heat flows of harmonic maps, Invent. Math. 99 (1990) 567-578.
3. J.-M. Coron & J.-M. Ghidaglia, Explosion en temps fini pour le flot des applications harmoniques, C. R. Acad. Sci. Paris Ser. I 308 (1989) 339-344.
4. W.-Y. Ding, Blow-up of solutions of heat flows for harmonic maps, Advances in Math. 19 (1990) 80-92.
5. J. Eells & J. H. Sampson, Harmonic mappings of Riemannian manifolds, Amer. J. Math. 84 (1964) 109-169.
6. M. Grayson & R. Hamilton, preprint, 1989.
7. F. Helein, Regularite des applications faiblement harmoniques entre une surface et une variete Riemannienne, preprint, 1991.
8. M. Struwe, On the evolution of harmonic maps of Riemannian surfaces, Math. Helv. 60 (1984) 558-581.