Motion of level sets by mean curvature. II

L. C. Evans, J. Spruck
1992 Transactions of the American Mathematical Society  
We give a new proof of short time existence for the classical motion by mean curvature of a smooth hypersurface. Our method consists in studying a fully nonlinear uniformly parabolic equation satisfied by the signed distance function to the surface
doi:10.1090/s0002-9947-1992-1068927-8 fatcat:6h3eyv3yzbgudkfs5qu7lmakrm