On the evolution of convex hypersurfaces by the $Q_k$ flow

M. Cristina Caputo, Panagiota Daskalopoulos, Natasa Sesum

We prove the existence and uniqueness of a $C^{1,1}$ solution of the $Q_k$ flow in the viscosity sense for compact convex hypersurfaces ${\Sigma }_t$ embedded in $R^{n+1}$ ($n\ge 2$) . I…