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

2002/11/13 by Bennett Chow, Peng Lu, Peng Lü +2
Mathematics · Physics and Astronomy · #35K40 #53C44 #Advanced Differential Geometry Research #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #math.DG #msc:35K40 #msc:53C44

paper · pdf · doi:10.48550/arxiv.math/0211209

20 pages, no pictures

arxiv created 2002/11/13 · openalex publication_date 2002/11/13 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we prove two extensions of Hamilton's maximal principle for systems pf parabolic equations which sould be useful for the study of the Ricci flow and some other geometric evolution equations. One extension is a time-dependent maximum principle and the other is a time-dependent maximum principle subject to an avoidance set.

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