@article{TSG_1991__S9__133_0, author = {Struwe, Micha\"el}, title = {The evolution of harmonic maps}, journal = {S\'eminaire de th\'eorie spectrale et g\'eom\'etrie}, volume = {S9}, year = {1991}, pages = {133-141}, language = {en}, url = {http://dml.mathdoc.fr/item/TSG_1991__S9__133_0} }
Struwe, Michael. The evolution of harmonic maps. Séminaire de théorie spectrale et géométrie, Tome S9 (1991) pp. 133-141. http://gdmltest.u-ga.fr/item/TSG_1991__S9__133_0/
1 "Heat flows and relaxed energies for harmonic maps", preprint ( 1990). | MR 1167832 | Zbl 0795.35053
, , and ,2 "Harmonic rnaps wilh defects", Comm. Math. Phys. 107 ( 1986), 649-705. | MR 868739 | Zbl 0608.58016
, and ,3 "Heat flow and boundary value problem for harmonic maps", preprint ( 1988). | Numdam | MR 1030856
,4 "A result on global existence for heat flows of harmonic maps front D2 into S2", preprint ( 1989).
and ,5 "Weak solutions to the evolution problems of harmonic maps", Math. Z. | MR 990189 | Zbl 0685.58015
,6 "BIow-up and global existence for heat flows of harmonic maps", preprint. | MR 1032880 | Zbl 0674.58019
and ,7 "Harmonic mappings into manifolds with boundary", preprint, Trieste ( 1989). | Numdam | MR 1079982
and ,8 "Existence and partial regularity results for the heat flow for harmonic maps", Math. Z. 201 ( 1989), 83-103. | MR 990191 | Zbl 0652.58024
and ,9 "Estimate of singular set of the evolution problem for harmonic maps", preprint, Rice Univ. ( 1990). | MR 1114458 | Zbl 0699.58028
,10 "Nonuniqueness for the heat flow of harmonic maps", preprint ( 1988). | Numdam | MR 1067779
,11 "Explosion en temps fini pour le flot des applications harmoniques", preprint ( 1988). | MR 992088 | Zbl 0679.58017
and ,12 "A report on harmonic maps", Bull. London Math. Soc.10 ( 1978), 1-68. | MR 495450 | Zbl 0401.58003
and ,13 "Harmonic mappings of Riemannian manifolds", Amer. J. Math. 86 ( 1964), 109-160. | MR 164306 | Zbl 0122.40102
and ,14 "Restrictions on harmonic maps of surfaces", Topology 15 ( 1976), 263-266. | MR 420708 | Zbl 0328.58008
and ,15 "On the regularity of the minima of variational integrals", Acta Math. 148 ( 1982), 31-46. | MR 666107 | Zbl 0494.49031
and ,16 "The formation of singularities in the harmonic map heat flow", preprint. | MR 1428088 | Zbl 0872.58021
and ,17 "Harmonic maps of manifolds with boundary", Lect. Notes Math. 471, Springer, Berlin ( 1975). | MR 482822 | Zbl 0308.35003
,18 "A construction of solutions satisfying a Caccioppoli inequality for nonlinear parabolic equations associated to a variational functional of harmonic type", preprint.
and ,19 "Uniqueness and stability of harmonic maps, and their Jacobi fields", manusc. math. 28 ( 1979), 269-291. | MR 535705 | Zbl 0413.31006
and ,20 "Rotationally symmetric harmonic maps from a bail into a sphere and the regularity problem for weak solutions of elliptic systems", J. Reine Angew. Math. 343 ( 1983), 146-161. | MR 705882 | Zbl 0516.35032
and ,21 "Ein Existenzbeweis für harmonische Abbildungen, die ein Dirichletproblem lösen, mittels der Methode des Wärmeflusses", manusc. math. 34 ( 1981), 17-25. | MR 614386 | Zbl 0459.58013
,22 "Reaction - diffusion processes and evolution to harmonic maps", preprint. | MR 1025956 | Zbl 0702.35128
, and ,23 "Applications harmoniques de surfaces riemanniennes", J. Diff. Geom. 13 ( 1978), 51-78. | MR 520601 | Zbl 0388.58003
,24 "Harmonic map heat flow with free boundary", preprint, Trieste ( 1990). | MR 1107842 | Zbl 0727.53044
,25 "The heat equation and harmonic maps of complete manifolds", preprint ( 1989). | MR 1109619 | Zbl 0748.58006
and ,26 "Une remarque sur l'application x/|x|", C.R. Acad. Sc. Paris 305 ( 1987), 529-531 | Zbl 0652.58022
,27 "Sur les applications harmoniques", J. Diff. Geom. 9 ( 1974), 41-54. | MR 345129 | Zbl 0281.35034
,28 "A Harnack inequality for parabolic differential equations", Comm. Pure Appl. Math.17 ( 1964), 101-134. | MR 159139 | Zbl 0149.06902
,29 "The existence of minimal immersions of 2-spheres", Ann. of Math. 113 ( 1981), 1-24. | MR 604040 | Zbl 0462.58014
and ,30 "A regularity theory for harmonic maps", J. Diff Geom. 17 ( 1982), 307-335, and 18 ( 1983), 329. | MR 664498 | Zbl 0521.58021
and ,31 "Weak solutions and the development of singularities of the SU(2)σ-model", Comm. Pure Appl. Math. 41 ( 1988), 459-469. | MR 933231 | Zbl 0686.35081
,32 "Global existence of harmonic maps in Minkowski epace", Comm. Pure Appl. Math. 42 ( 1989), 1-13. | MR 973742 | Zbl 0685.58016
,33 "On the evolution of harmonic maps of Riemannian surfaces". Comment. Math. Helv. 60 ( 1985), 558-581. | MR 826871 | Zbl 0595.58013
,34 "The existence of surfaces of constant mean curvature with free boundaries", Acta Math. 160 ( 1988), 19-64. | MR 926524 | Zbl 0646.53005
,35 "Heat flow methods for harmonic maps of surfaces and applications to free boundary problems", Lect. Notes Math. 1324, 293-319, Springer ( 1988) | MR 965544 | Zbl 0651.53045
,36 "On the evolution of harmonic maps in higher dimensions", J. Diff. Geom. 28 ( 1988), 485-502. | MR 965226 | Zbl 0631.58004
,37 "Infima of energy fonction als in homotopy classes of mappings", J. Diff. Geom. 23 ( 1986). 127-142. | MR 845702 | Zbl 0588.58017
,