Regularity for convex viscosity solutions of Lagrangian mean curvature equation

2020/06/03 by Bhattacharya, Arunima, Shankar, Ravi · 1 citation
#Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2006.02030

Abstract

We show that convex viscosity solutions of the Lagrangian mean curvature equation are regular if the Lagrangian phase has Hölder continuous second derivatives.

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• Singularities of the Lagrangian mean curvature flow at the critical Lagrangian phase

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