A Liouville type theorem for ancient Lagrangian mean curvature flows

2024/07/17 by Bhattacharya, Arunima, Warren, Micah, Weser, Daniel · 2 citations
#Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2407.12733

Abstract

We prove a Liouville type result for convex solutions of the Lagrangian mean curvature flow with restricted quadratic growth assumptions at antiquity on the solutions.

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• Asymptotic behavior at infinity and existence of solutions to the Lagrangian mean curvature flow in \mathbb Rⁿ⁺¹_-
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