@article{AIHPC_1989__6_5_363_0, author = {Kung-Ching, Chang}, title = {Heat flow and boundary value problem for harmonic maps}, journal = {Annales de l'I.H.P. Analyse non lin\'eaire}, pages = {363--395}, publisher = {Gauthier-Villars}, volume = {6}, number = {5}, year = {1989}, mrnumber = {1030856}, zbl = {0687.58004}, language = {en}, url = {http://www.numdam.org/item/AIHPC_1989__6_5_363_0/} }
Kung-Ching, Chang. Heat flow and boundary value problem for harmonic maps. Annales de l'I.H.P. Analyse non linéaire, Volume 6 (1989) no. 5, pp. 363-395. http://www.numdam.org/item/AIHPC_1989__6_5_363_0/
[BeC1] The Dirichlet Problem for Harmonic Maps From the Disk Into the Euclidean n-Sphere, Analyse nonlineaire, Vol. 2, No. 2, 1985, pp. 119-141. | Numdam | MR | Zbl
and ,[BrC1] Large Solutions for Harmonic Maps in Two Dimensions, Comm. Math. Phys., T. 92, 1983, pp. 203-215. | MR | Zbl
and ,[C1] Infinite Dimensional Morse Theory and its Applications, Univ. de Montréal, 1985. | MR | Zbl
,[EL1] A Report on Harmonic Maps, Bull. London Math. Soc., Vol. 16, 1978, pp. 1-68. | MR | Zbl
and ,[ES1] Harmonic Mappings of Riemannian Manifolds, A.J.M., vol. 86, 1964, pp. 109-160. | MR | Zbl
and ,[EW1] Restrictions on Harmonic Maps of Surfaces, Topology, Vol. 15, 1976, pp. 263-266. | MR | Zbl
and ,[F1] Partial Differential Equations of Parabolic Type, Prentice-Hall, Englewood Cliffs, N.J., 1964. | MR | Zbl
,[H1] Harmonic Maps of Manifolds with Boundary, L.N.M. No. 471, Springer, Berlin-Heidelberg-New York, 1975. | MR | Zbl
,[J1] Ein Existenzbeweis für harmonische Abbildungen, dis ein Dirichlet-problem lösen, mittels der Methode der Wäumeflusses, Manusc. Math., Vol. 38, 1982, pp. 129-130. | Zbl
,[J2] The Dirichlet problem for harmonic maps from a surface with boundary onto a 2-sphere with nonconstant boundary values, J. Diff. Geometry, Vol. 19, 1984, pp. 393-401. | MR | Zbl
,[LSU1] Linear and Quasilinear Equations of Parabolic Type, A.M.S. Transl. Math. Monogr. 23, Providence, 1968.
, and ,[L1] Boundary Value Problems for Harmonic and Minimal Maps of Surfaces Into Manifolds, Ann. Scuola Norm. Sup. Pisa, (4), 9, 1982, pp. 91-103. | Numdam | MR | Zbl
,[N1] Approximation of Functions of Several Variables and Imbedding Theorems, Springer-Verlag, 1975. | MR | Zbl
,[SU1] The Existence of Minimal Immersions of Two Spheres, Ann. Math., Vol. 113, 1981, pp. 1-24. | MR | Zbl
and ,[St1] Singular Integrals and Differentiability Properties of Functions, Princeton, 1970. | MR | Zbl
,[S1] On the Evolution of Harmonic Mappings, Commet. Math. Helvetici, Vol. 60, 1985, pp. 558-581. | MR | Zbl
,[S2] The Evolution of Harmonic Maps (Part I) Heat-Flow Methods for Harmonic Maps of Surfaces and Applications to Free Boundary Problems, I.C.T.P., 1988. | MR
,[S3] The Evolution of Harmonic Maps (Part II). On the Evolution of Harmonic Maps in Higher Dimensions, Jour. Diff. Geometry (to appear). | MR | Zbl
,[U1] Morse Theory by Perturbation Methods with Applications to Harmonic Maps, T.A.M.S., 1981. | MR | Zbl
,[VW1] Verhalten der Lösungen parabolisher Gleischungen für t → ∞ mit Lösbarkeit in Grossen, Nachr. Akad. Wiss. Göttingen, 5 1981. | MR
,[W1] A Fourier Method on the Lp Theory of Parabolic and Elliptic Boundary Value Problems, Scientia Sinica, 1965. | Zbl
,