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.
Mean curvature flow with obstacles: Existence, uniqueness and regularity of solutions
NOVAGA, MATTEO
2015-01-01
Abstract
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.File in questo prodotto:
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