https://neckpinch.com/authors/shanshan-li/New arXiv papers by Shanshan Li, from Neckpinch Tue, 03 Nov 2026 08:41:12 GMT https://neckpinch.com/papers/2410.17794/arxiv:2410.17794Wed, 23 Oct 2024 00:00:00 GMTShanshan Li, Jiaru Lv, Rongli Huang — In this paper, we consider the mean curvature flow of entire Lagrangian graphs with initial data in the pseudo-Euclidean space, which is related to the special Lagrangian parabolic equation. We show that the parabolic equation has a smooth solution u(x,t) for three corresponding nonlinear equations between the Monge-Ampgraveere type equation(τ=0) and the special Lagrangian parabolic equation(τ=fracπ2). Furthermore, we get the bound of D^lu, l=\3,4,5,⋯\ for τ=fracπ4 and the decay estimates of the higher order derivatives when 0<τ<fracπ4 and fracπ4<τ<fracπ2. We also prove that u(x,t) converges to smooth self-expanding solutions of.Mean curvature flowLagrangian mean curvature flowSelf-shrinkers & translators