@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}, pages = {221--239}, publisher = {Kluwer Academic Publishers}, volume = {68}, number = {2}, year = {1988}, mrnumber = {966581}, zbl = {0669.35049}, language = {en}, url = {http://www.numdam.org/item/CM_1988__68_2_221_0/} }
TY - JOUR AU - Naito, Hisashi TI - A stable manifold theorem for the gradient flow of geometric variational problems associated with quasi-linear parabolic equations JO - Compositio Mathematica PY - 1988 SP - 221 EP - 239 VL - 68 IS - 2 PB - Kluwer Academic Publishers UR - http://www.numdam.org/item/CM_1988__68_2_221_0/ LA - en ID - CM_1988__68_2_221_0 ER -
%0 Journal Article %A Naito, Hisashi %T A stable manifold theorem for the gradient flow of geometric variational problems associated with quasi-linear parabolic equations %J Compositio Mathematica %D 1988 %P 221-239 %V 68 %N 2 %I Kluwer Academic Publishers %U http://www.numdam.org/item/CM_1988__68_2_221_0/ %G en %F 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, Tome 68 (1988) no. 2, pp. 221-239. http://www.numdam.org/item/CM_1988__68_2_221_0/
1 Nonlinear analysis on manifolds, Monge-Amperé equations. Springer-Verlag, Berlin-Heiderberg -New York (1983). | MR | Zbl
:2 A bifurcation problem for a nonlinear parabolic equation. J. Appl. Anal. 4 (1974) 17-37. | MR | Zbl
and :3 Selected topics in harmonic maps. C.B.M.S. Regional Conference Series in Math. Vol. 50, (1983). | MR | Zbl
and :4 Variational theory in fiber bundles. Proc. U.S. Japan Seminar in Diff. Geom. (1965) pp. 22-33. | MR | Zbl
and :5 Harmonic mapping of Riemannian manifolds. Amer. J. Math. 86 (1964) 109-160. | MR | Zbl
and :6 A stable manifold theorem for the curve shortening equation. Comm. Pure Appl. Math. 40 (1987) 119-139. | MR | Zbl
and :7 Elliptic Partial Differential Equations of Second Order. Springer-Verlag, Berlin-Heiderberg -New York (1983). | MR | Zbl
and :8 The equation shrinking convex plain curves. J. Diff. Geom. 23 (1986) 69-96. | MR | Zbl
:9 Geometric Theory of Semilinear Parabolic Equations. L.N.M. 840, Springer-Verlag, Berlin-Heiderberg- New York (1981). | MR | Zbl
:10 Harmonic Maps of Manifolds with Boundary. L.N.M. 471, Springer-Verlag, Berlin-Heiderberg- New York (1975). | MR | Zbl
:11 Foundations in Non-linear Global Analysis, Benjamin. New York (1967). | Zbl
: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 | Zbl
: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
: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 | Zbl
: