On the second boundary value problem for Lagrangian mean curvature flow

Abstract

We consider a fully nonlinear parabolic equation with nonlinear Neumann type boundary condition, and show that the longtime existence and convergence of the flow. Finally we apply this study to the boundary value problem for minimal Lagrangian graphs.

17 pages

References in corpus (2)

• Singularities of Lagrangian mean curvature flow: zero-Maslov class case
• An Inverse Function Theorem in Frechet Spaces

Cited by in corpus (4)

• A convergence result on the second boundary value problem for parabolic equations
• On the second boundary value problem for a class of fully nonlinear flows II
• Asymptotic behavior at infinity of solutions of Lagrangian mean curvature equations
• Asymptotic expansion at infinity of solutions of Monge-Ampère type equations