Mean curvature flow with obstacles: existence, uniqueness and regularity of solutions
Analysis of PDEs
2014-09-26 v1 Differential Geometry
Abstract
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.
Keywords
Cite
@article{arxiv.1409.7327,
title = {Mean curvature flow with obstacles: existence, uniqueness and regularity of solutions},
author = {Gwenael Mercier and Matteo Novaga},
journal= {arXiv preprint arXiv:1409.7327},
year = {2014}
}