Open AccessMean curvature flow with obstacles: Existence, uniqueness and regularity of solutions
Author(s) -
Gwenaël Mercier,
Matteo Novaga
Publication year - 2015
Publication title -
interfaces and free boundaries mathematical analysis computation and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.964
H-Index - 39
eISSN - 1463-9971
pISSN - 1463-9963
DOI - 10.4171/ifb/348
Subject(s) - uniqueness , mean curvature flow , curvature , flow (mathematics) , mathematics , mean curvature , mathematical analysis , geometry
We show short time existence and uniqueness of C^(1,1) solutions to the mean curvature flow with obstacles, when the obstacles are of class C^(1,1). If the initial interface is a periodic graph we show long time existence of the evolution and convergence to a minimal constrained hypersurface
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