@article{AIHPC_2007__24_6_851_0,
author = {Daskalopoulos, P. and del Pino, Manuel},
title = {Type {II} collapsing of maximal solutions to the {Ricci} flow in ${R}^{2}$},
journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
pages = {851--874},
year = {2007},
publisher = {Elsevier},
volume = {24},
number = {6},
doi = {10.1016/j.anihpc.2006.06.006},
mrnumber = {2371109},
language = {en},
url = {https://www.numdam.org/articles/10.1016/j.anihpc.2006.06.006/}
}
TY - JOUR
AU - Daskalopoulos, P.
AU - del Pino, Manuel
TI - Type II collapsing of maximal solutions to the Ricci flow in ${R}^{2}$
JO - Annales de l'I.H.P. Analyse non linéaire
PY - 2007
SP - 851
EP - 874
VL - 24
IS - 6
PB - Elsevier
UR - https://www.numdam.org/articles/10.1016/j.anihpc.2006.06.006/
DO - 10.1016/j.anihpc.2006.06.006
LA - en
ID - AIHPC_2007__24_6_851_0
ER -
%0 Journal Article
%A Daskalopoulos, P.
%A del Pino, Manuel
%T Type II collapsing of maximal solutions to the Ricci flow in ${R}^{2}$
%J Annales de l'I.H.P. Analyse non linéaire
%D 2007
%P 851-874
%V 24
%N 6
%I Elsevier
%U https://www.numdam.org/articles/10.1016/j.anihpc.2006.06.006/
%R 10.1016/j.anihpc.2006.06.006
%G en
%F AIHPC_2007__24_6_851_0
Daskalopoulos, P.; del Pino, Manuel. Type II collapsing of maximal solutions to the Ricci flow in ${R}^{2}$. Annales de l'I.H.P. Analyse non linéaire, Tome 24 (2007) no. 6, pp. 851-874. doi: 10.1016/j.anihpc.2006.06.006
[1] , The zero set of a solution of a parabolic equation, J. Reine Angew. Math. 390 (1988) 79-96. | Zbl | MR
[2] , , Degenerate neckpinches in mean curvature flow, J. Reine Angew. Math. 482 (1997) 15-66. | Zbl | MR
[3] , The mathematics of moving contact lines in thin liquid films, Notices Amer. Math. Soc. 45 (6) (1998) 689-697. | Zbl | MR
[4] , , The lubrication approximation for thin viscous films: regularity and long-time behavior of weak solutions, Comm. Pure Appl. Math. 49 (2) (1996) 85-123. | Zbl | MR
[5] , The Ricci flow on the 2-sphere, J. Differential Geom. 33 (2) (1991) 325-334. | Zbl | MR
[6] , Wetting: statics and dynamics, Rev. Modern Phys. 57 (3) (1985) 827-863.
[7] P. Daskalopoulos, N. Sesum, Eternal solutions to the Ricci flow in , preprint. | Zbl
[8] , , On a singular diffusion equation, Comm. Anal. Geom. 3 (1995) 523-542. | Zbl | MR
[9] , , Geometric estimates for the logarithmic fast diffusion equation, Comm. Anal. Geom. 12 (1-2) (2004) 143-164. | Zbl
[10] , , A Stability Technique for Evolution Partial Differential Equations. A Dynamical Systems Approach, Progress in Nonlinear Differential Equations and their Applications, vol. 56, Birkhäuser Boston, Boston, MA, 2004. | Zbl | MR
[11] , Eternal solutions to the Ricci flow, J. Differential Geom. 38 (1993) 1-11. | Zbl | MR
[12] , The Ricci flow on surfaces, in: Contemp. Math., vol. 71, Amer. Math. Soc., Providence, RI, 1988, pp. 237-262. | Zbl | MR
[13] , The formation of singularities in the Ricci flow, in: Surveys in Differential Geometry, vol. II, Internat. Press, Cambridge, MA, 1995, pp. 7-136. | Zbl | MR
[14] , Asymptotic profile of solutions of a singular diffusion equation as , Nonlinear Anal. Ser. A: Theory Methods 48 (6) (2002) 781-790. | Zbl | MR
[15] , Large time behaviour of solutions of the Ricci flow equation on , Pacific J. Math. 197 (1) (2001) 25-41. | Zbl | MR
[16] , Asymptotic behavior of solutions of the equation near the extinction time, Adv. Differential Equations 8 (2) (2003) 161-187. | Zbl | MR
[17] , Behaviour of solutions of a singular diffusion equation near the extinction time, Nonlinear Anal. 56 (1) (2004) 63-104. | MR
[18] , Self-similar behavior for the equation of fast nonlinear diffusion, Philos. Trans. R. Soc. London Ser. A 343 (1993) 337-375. | Zbl
[19] , , , The maximal solution of the logarithmic fast diffusion equation in two space dimensions, Adv. Differential Equations 2 (6) (1997) 867-894. | Zbl | MR
[20] , A new result for the porous medium equation derived from the Ricci flow, Bull. Amer. Math. Soc. 28 (1993) 90-94. | Zbl | MR
[21] , The Ricci flow on complete , Comm. Anal. Geom. 1 (1993) 439-472. | Zbl | MR
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