We show short time existence and uniqueness of solutions to the mean curvature flow with obstacles, when the obstacles are of class . If the initial interface is a periodic graph we show long time existence of the evolution and convergence to a minimal constrained hypersurface.
Cite this article
Gwenaël Mercier, Matteo Novaga, Mean curvature flow with obstacles: Existence, uniqueness and regularity of solutions. Interfaces Free Bound. 17 (2015), no. 3, pp. 399–426DOI 10.4171/IFB/348