Long-time existence of mean curvature flow with external force fields

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dc.creatorLiu, Yanan
dc.creatorJian, Huaiyu
dc.date2006-11-29
dc.date.accessioned2026-07-07T07:33:28Z
dc.date.available2026-07-07T07:33:28Z
dc.descriptionIn this paper, we study the evolution of submannifold moving by mean curvature minus a external force field. We prove that the flow has a long-time smooth solution for all time under almost optimal conditions. Those conditions are that the second fundamental form on the initial submanifolds is not too large, the external force field, with its any order derivatives, is bounded, and the field is convex with its eigenvalues satisfying a pinch inequality.
dc.description17pages
dc.identifierhttps://arxiv.org/abs/math/0611906
dc.identifierhttp://arxiv.org/abs/math/0611906
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/119470
dc.subjectAnalysis of PDEs
dc.subjectDifferential Geometry
dc.titleLong-time existence of mean curvature flow with external force fields
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