@article{CM_1988__68_2_221_0, author = {Naito, Hisashi}, title = {A stable manifold theorem for the gradient flow of geometric variational problems associated with quasi-linear parabolic equations}, journal = {Compositio Mathematica}, publisher = {Kluwer Academic Publishers}, volume = {68}, number = {2}, year = {1988}, pages = {221-239}, zbl = {0669.35049}, mrnumber = {966581}, language = {en}, url = {http://www.numdam.org/item/CM_1988__68_2_221_0} }

Naito, Hisashi. A stable manifold theorem for the gradient flow of geometric variational problems associated with quasi-linear parabolic equations. Compositio Mathematica, Volume 68 (1988) no. 2, pp. 221-239. http://www.numdam.org/item/CM_1988__68_2_221_0/

1 Nonlinear analysis on manifolds, Monge-AmperÃ© equations. Springer-Verlag, Berlin-Heiderberg -New York (1983). | MR 681859 | Zbl 0512.53044

:2 A bifurcation problem for a nonlinear parabolic equation. J. Appl. Anal. 4 (1974) 17-37. | MR 440205 | Zbl 0296.35046

and :3 Selected topics in harmonic maps. C.B.M.S. Regional Conference Series in Math. Vol. 50, (1983). | MR 703510 | Zbl 0515.58011

and :4 Variational theory in fiber bundles. Proc. U.S. Japan Seminar in Diff. Geom. (1965) pp. 22-33. | MR 216519 | Zbl 0192.29801

and :5 Harmonic mapping of Riemannian manifolds. Amer. J. Math. 86 (1964) 109-160. | MR 164306 | Zbl 0122.40102

and :6 A stable manifold theorem for the curve shortening equation. Comm. Pure Appl. Math. 40 (1987) 119-139. | MR 865360 | Zbl 0602.34026

and :7 Elliptic Partial Differential Equations of Second Order. Springer-Verlag, Berlin-Heiderberg -New York (1983). | MR 737190 | Zbl 0562.35001

and :8 The equation shrinking convex plain curves. J. Diff. Geom. 23 (1986) 69-96. | MR 840401 | Zbl 0621.53001

:9 Geometric Theory of Semilinear Parabolic Equations. L.N.M. 840, Springer-Verlag, Berlin-Heiderberg- New York (1981). | MR 610244 | Zbl 0456.35001

:10 Harmonic Maps of Manifolds with Boundary. L.N.M. 471, Springer-Verlag, Berlin-Heiderberg- New York (1975). | MR 482822 | Zbl 0308.35003

:11 Foundations in Non-linear Global Analysis, Benjamin. New York (1967). | Zbl 0164.11102

:12 Differential Geometry and Gauge Theory (in Japanese). Kyoritsu, Tokyo (1986).

and :13 Asymptotic behavior of solutions to Eells-Sampson equations near stable harmonic maps. preprint. | MR 1017578 | Zbl 0688.58007

:14 Asymptotic behavior of non-linear heat equations in geometric variational problems. preprint.

:15 Asymptotic for a class of non-linear evolution equations, with applications to geometric problem. Ann. of Math. 118 (1983) 525-571. | Zbl 0549.35071

:16 Asymptotic behaviour near isolated singular points for geometric variational problems. Proc. Centre for Math. Anal., Australian National University, (Proceeding of Miniconference on Geometry and Partial Differential Equations) Vol. 10 (1985) pp. 1-7. | MR 857649 | Zbl 0606.58016

: