Lagrangian Mean Curvature flow for entire Lipschitz graphs II

Details Lagrangian Mean Curvature flow for entire Lipschitz graphs II Lagrangian Mean Curvature flow for entire Lipschitz graphs II

2011-05-30

arxiv.org/abs/1105.6119v1

Mathematics

Differential Geometry

17 pages

Scientific paper

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) $-(1+\eta) I_n\leq D^2u_0 \leq (1+\eta)I_n$ for some
positive dimensional constant $\eta$, (2) $u_0$ is weakly convex everywhere or
(3) $u_0$ satisfies a large supercritical Lagrangian phase condition.

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