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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/65642In 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.20 pages, no picturesDifferential Geometry53C44; 35K40The time-dependent maximum principle for systems of parabolic equations subject to an avoidance settext