A Priori Estimates for Singularities of the Lagrangian Mean Curvature Flow with Supercritical Phase

Abstract

In this paper, we prove interior a priori estimates for singularities of the Lagrangian mean curvature flow assuming the Lagrangian phase is supercritical. We prove a Jacobi inequality that holds good when the Lagrangian phase is critical and supercritical. We further extend our results to a broader class of Lagrangian mean curvature type equations.

arXiv admin note: text overlap with arXiv:2403.07235 Minor revisions were made for clarification. To be published in Nonlinear Analysis