|
A New Result for the Porous Medium Equation Derived from the Ricci Flow
Author(s):
Lang-Fang
Wu
Journal:
Bull. Amer. Math. Soc.
28
(1993),
90-94.
MSC (1991):
Primary 58D25, 35K05
MathSciNet review:
1164949
Retrieve article in:
PDF
References |
Similar articles |
Additional information
References:
- [A]
- D. G. Aronson, \emph{The porous medium equations}, Springer, New York, 1986. MR 877986
- [CW]
- B. Chow and L. Wu, \emph{The Ricci flow on compact {\rm 2}-orbifolds with curvature negative somewhere}, Wiley, New York, 1991 pp.~275--286. MR 1090433
- [ERV]
- J. R. Esteban, A. Rodriguez, and J. L. Vazquez, A nonlinear heat equation with singular diffusivity, Arch. Rational Mech. Analysis \textbf{103} (1988), 985--1039. MR 944437
- [Ha1]
- R. Hamilton, \emph{The Ricci flow on surfaces}, Amer. Math. Soc., Providence, RI, 1988 pp.~237--262. MR 954419
- [Ha2]
- R. Hamilton, Notes on Harnack's inequality, {\rm preprint}. MR
- [H1]
- M. A. Herrero, A limiting case in nonlinear diffusion, Nonlinear Anal. \textbf{13} (1989), 611--628. MR 998508
- [H2]
- M. A. Herrero, Singular diffusion on the line. MR
- [Shi]
- W. X. Shi, Complete noncompact K\"ahler manifolds with positive holomorphic bisectional curvature, Bull. Amer. Math. Soc. (N.S.) \textbf{23} (1990), 437--440. MR 1044171
- [V]
- J. L. Valazquez, Two nonlinear diffusion equations with finite speed of propagation, Proceedings of the conference in honor of Jack Hale on the occasion of his 60th birthday, preprint. MR
- [W1]
- L. Wu, The Ricci flow on $2$-orbifolds with positive curvature, J. Differential Geom \textbf{33} (1991), 575--596. MR 1094470
- [W2]
- L. Wu, The Ricci flow on complete $\Bbb R^2$ {\rm (}The limiting case of the porous medium equations as $m \to 0)$, submitted. MR
Similar Articles:
Retrieve articles in Bulletin of the American Mathematical Society
with MSC
(1991):
58D25, 35K05
Retrieve articles in all Journals with MSC
(1991):
58D25, 35K05
Additional Information:
DOI:
10.1090/S0273-0979-1993-00336-7
PII:
S 0273-0979(1993)00336-7
|
