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- W4386875640 abstract "Given an entire $C^2$ function $u$ on $mathbb{R}^n$, we consider the graph of $D u$ as a Lagrangian submanifold of $mathbb{R}^{2n}$, and deform it by the mean curvature flow in $mathbb{R}^{2n}$. This leads to the special Lagrangian evolution equation, a fully nonlinear Hessian type PDE. We prove long-time existence and convergence results under a 2-positivity assumption of $(I+(D^2 u)^2)^{-1}D^2 u$. Such results were previously known only under the stronger assumption of positivity of $D^2 u$." @default.
- W4386875640 created "2023-09-20" @default.
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- W4386875640 date "2023-09-17" @default.
- W4386875640 modified "2023-09-27" @default.
- W4386875640 title "Entire solutions of two-convex Lagrangian mean curvature flows" @default.
- W4386875640 doi "https://doi.org/10.48550/arxiv.2309.09432" @default.
- W4386875640 hasPublicationYear "2023" @default.
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