Dirichlet boundary value problems of Landau-Lifshitz equation

Communications in Partial Differential Equations

Volumn 25, Issue 1-2, 2000, Pages 101-124

  Chen, Yunmei ^a  

^a UNIVERSITY OF FLORIDA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0006579738     PISSN: 03605302     EISSN: None     Source Type: Journal    
DOI: 10.1080/03605300008821509     Document Type: Article

References (11)

1. K.C. Chang, Heat flow and boundary value problem for harmonic maps, Ann. Inst. Henri Poincaré6 (1989), 363-396.
2. A. Freire, Uniqueness for the harmonic map flow in two dimensions, Cal. Var.PDE.3 (1995), 95-105.
3. P. Gilkey, Invariance Theory, the heat equation and the Atiyah-Singer index theorem, Publish or Perish, Inc. 1984.
4. P.P. Grisvard, Equations Differentielles abstraites, Ann. Scient. Ec. Norm. Sup. 4 serie, t.2, (1969), 311-395.
5. B. Guo and M-C. Hong, The Landau-Lifshitz equation of the ferromagnetic spin chain and harmonic maps, Calc. Var.1 (1993), 311-334.
6. F. Hélein, Régularité des applications faiblement harmoniques entre une surface et une sphere, Comptes Rendus Acad. Sci. Serie I, t.311 (1990), 519-524.
7. T. Iwaniec and G. Martin, Quasireguar mappings in even dimension, to appear in Acta Mathematica..
8. O. Ladyzhenskaja, V.A. Solonnikov and N.N. Ural'ceva, Linear and quasilinear equations of parabolic type., AMS Transl. Math. Monogr. 23, (1968).
9. L. Landau and E-M. Lifshitz, On the theory of the dispersion of magnetic permeability in ferromagnetic bodies, Phys Z. Sowj 8 (1935), 153. Reproduced in Collected Papers of L. D. Landau, New York: Pergamon Press 1965, P. 101-114.
10. M. Struwe, On the evolution of harmonic mappings of Riemannian surfaces, Comment. Math. Helv. 60 (1985), 558-581.
11. H. Wente, An existence theorem for surfaces of constant mean curvature, J. Math. Anal. Appl. 26 (1969), 318-344.