Entire solutions of two-convex Lagrangian mean curvature flows
Journal
Calculus of Variations and Partial Differential Equations
Journal Volume
64
Journal Issue
7
ISSN
0944-2669
1432-0835
Date Issued
2025-07-05
Author(s)
Abstract
Given an entire function u on, we consider the graph of Du as a Lagrangian submanifold of, and deform it by the mean curvature flow in. 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. Such results were previously known only under the stronger assumption of positivity of.
SDGs
Publisher
Springer Science and Business Media LLC
Type
journal article