Lagrangian mean curvature flow for entire Lipschitz graphs II

نویسندگان

  • Albert Chau
  • Jingyi Chen
  • Yu Yuan
چکیده

We prove longtime existence and estimates for smooth solutions to a fully nonlinear Lagrangian parabolic equation with locally C1,1 initial data u0 satisfying either (1) −(1+ η)In ≤ Du0 ≤ (1+ η)In for some positive dimensional constant η, (2) u0 is weakly convex everywhere, or (3) u0 verifies a large supercritical Lagrangian phase condition. Mathematics Subject Classification (2000) Primary 53C44 · 53A10

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تاریخ انتشار 2013