Mean Curvature Motion of Triple Junctions of Graphs in Two Dimensions

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dc.creatorFreire, Alex
dc.date2008-09-03
dc.date.accessioned2026-07-07T10:00:22Z
dc.date.available2026-07-07T10:00:22Z
dc.descriptionWe consider a system of three surfaces, graphs over a bounded domain in ${\mathbb R}^2$, intersecting along a time-dependent curve and moving by mean curvature while preserving the pairwise angles at the curve of intersection (equal to $2π/3$.) For the corresponding two-dimensional parabolic free boundary problem we prove short-time existence of classical solutions (in parabolic Hölder spaces), for sufficiently regular initial data satisfying a compatibility condition.
dc.description31 pages, submitted
dc.identifierhttps://arxiv.org/abs/0809.0636
dc.identifierhttp://arxiv.org/abs/0809.0636
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/168305
dc.subjectAnalysis of PDEs
dc.subjectDifferential Geometry
dc.titleMean Curvature Motion of Triple Junctions of Graphs in Two Dimensions
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