On the second boundary value problem for a class of fully nonlinear flows II

摘要

This article is a continuation of an earlier work (Huang and Ye in Int Math Res Not, 2017. https://doi.org/10.1093/imrn/rnx278 ), where the long time existence and convergence for some special cases of parabolic type special Lagrangian equations were given. The long time existence and convergence of the flow are obtained for all cases in this article. In particular, we can prescribe the second boundary value problems for a family of special Lagrangian graphs.