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

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

2002-11-13

arxiv.org/abs/math/0211209v1

Mathematics

Differential Geometry

20 pages, no pictures

Scientific paper

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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