Lagrangian Mean Curvature flow for entire Lipschitz graphs II [article]

Albert Chau, Jingyi Chen, Yu Yuan
2011 arXiv   pre-print
We prove longtime existence and estimates for solutions to a fully nonlinear Lagrangian parabolic equation with locally C^1,1 initial data u_0 satisfying either (1) -(1+η) I_n≤ D^2u_0 ≤ (1+η)I_n for some positive dimensional constant η, (2) u_0 is weakly convex everywhere or (3) u_0 satisfies a large supercritical Lagrangian phase condition.
arXiv:1105.6119v1 fatcat:hncfst2ewfdqbeah7oxu7no3q4