The maximum principle for systems of parabolic equations subject to an avoidance set

Pacific Journal of Mathematics

Volumn 214, Issue 2, 2004, Pages 201-222

  Chow, Bennett ^a   Lu, Peng ^b,c  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b MCMASTER UNIVERSITY   (Canada)

^c UNIVERSITY OF OREGON   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 2442499639     PISSN: 00308730     EISSN: None     Source Type: Journal    
DOI: 10.2140/pjm.2004.214.201     Document Type: Article

References (9)

1. [CK] B. Chow and D. Knopf, The Ricci Flow, Volume I: An Introduction, Mathematical Surveys and Monographs series, American Mathematical Society, Providence, 2004.
2. [H1] R.S. Hamilton, Three-manifolds with positive Ricci curvature, J. Differential Geom., 17 (1982), 255-306, MR 0664497, Zbl 0504.53034.
3. [H2] _, Four-manifolds with positive curvature operator, J. Differential Geom., 24 (1986), 153-179, MR 0862046, Zb1 0628.53042.
4. [H3] _, The Harnack estimate for the Ricci flow, J. Differential Geom., 37 (1993), 225-243, MR 1198607, Zbl 0804.53023.
5. [H4] _, The formation of singularities in the Ricci flow, Surveys in Differential Geometry, 2, International Press, 1995, 7-136, MR 1375255, Zbl 0867.53030.
6. [H5] _, Four-manifolds with positive isotropic curvature, Comm. Anal. Geom., 5 (1997), 1-92, MR 1456308, Zbl 0892.53018.
7. [H6] _, Nonsingular solutions of the Ricci Flow on three-manifolds, Comm. Anal. Geom., 7 (1999), 695-729, MR 1714939, Zbl 0939.53024.
8. [PW] M.H. Protter and H.F. Weinberger, Maximum Principles in Differential Equations, Springer-Verlag, 1984, MR 0762825, Zbl 0549.35002.
9. [S] J. Smoller, Shock Waves and Reaction-Diffusion Equations, Second edition, Grundlehren der Mathematischen Wissenschaften, 258, Springer-Verlag, 1994, MR 1301779, Zbl 0807.35002.