July 17, 2024Open Access

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

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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.

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Bhattacharya et al. (Wed,) studied this question.

synapsesocial.com/papers/68e60128b6db643587594b20 https://doi.org/https://doi.org/10.48550/arxiv.2407.12756

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