Regularity for convex viscosity solutions of special Lagrangian equation

2019/11/12 by Chen, Jingyi, Shankar, Ravi, Yuan, Yu · 3 citations
#Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1911.05452

Abstract

We establish interior regularity for convex viscosity solutions of the special Lagrangian equation. Our result states that all such solutions are real analytic in the interior of the domain.

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• Optimal Regularity for Hölder continuous Hamiltonian Stationary Lagrangian graphs
• Singularities of the Lagrangian mean curvature flow at the critical Lagrangian phase
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