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

synapsesocial.com/papers/68e60128b6db643587594b2a https://doi.org/https://doi.org/10.48550/arxiv.2407.12733

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Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

1Asymptotic behavior at infinity and existence of solutions to the Lagrangian mean curvature flow in $\mathbb R^{n+1}_-$2025
2Ancient Solutions of Ricci Flow with Type I Curvature Growth2024 · 4 citations
3A rigidity result for ancient Ricci flows2024
4Hessian and Gradient Estimates for Equations of Lagrangian Mean Curvature2026
5Curvature conditions, Liouville-type theorems and Harnack inequalities for a nonlinear parabolic equation on smooth metric measure spaces2024 · 7 citations