A Priori Estimates for Lagrangian Mean Curvature Flows

被引：11

作者：

Nguyen, Tu A. ^{[2
]}

Yuan, Yu ^{[1
]}

机构：

[1] Inst Adv Study, Princeton, NJ 08540 USA

[2] Univ Washington, Dept Math, Seattle, WA 98195 USA

来源：

INTERNATIONAL MATHEMATICS RESEARCH NOTICES | 2011年 / 2011卷 / 19期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1093/imrn/rnq242

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We derive a priori estimates for solutions of Lagrangian mean curvature flows. A Liouville-type result for ancient solutions is also obtained in the course of the arguments.

引用

页码：4376 / 4383

页数：8

共 50 条

[31] CURVATURE ESTIMATES FOR SURFACES WITH BOUNDED MEAN CURVATURE
Bourni, Theodora
Tinaglia, Giuseppe
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2012, 364 (11) : 5813 - 5828
[32] GRADIENT ESTIMATES AND MEAN CURVATURE
TRUDINGER, NS
MATHEMATISCHE ZEITSCHRIFT, 1973, 131 (02) : 165 - 175
[33] On symplectic mean curvature flows
Han X.
Li J.
Frontiers of Mathematics in China, 2007, 2 (1) : 47 - 60
[34] Lagrangian mean curvature flow of Whitney spheres
Savas-Halilaj, Andreas
Smoczyk, Knut
GEOMETRY & TOPOLOGY, 2019, 23 (02) : 1057 - 1084
[35] Longtime existence of the Lagrangian mean curvature flow
Knut Smoczyk
Calculus of Variations and Partial Differential Equations, 2004, 20 : 25 - 46
[36] THE DIRICHLET PROBLEM FOR THE LAGRANGIAN MEAN CURVATURE EQUATION
Bhattacharya, Arunima
ANALYSIS & PDE, 2024, 17 (08):
[37] Ancient solutions in Lagrangian mean curvature flow
Lambert, Ben
Lotay, Jason D.
Schulze, Felix
ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA-CLASSE DI SCIENZE, 2021, 22 (03) : 1169 - 1205
[38] Mean curvature flow of monotone Lagrangian submanifolds
K. Groh
M. Schwarz
K. Smoczyk
K. Zehmisch
Mathematische Zeitschrift, 2007, 257 : 295 - 327
[39] GAUSS CURVATURE ESTIMATES FOR SURFACES OF CONSTANT MEAN CURVATURE
SPRUCK, J
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1974, 27 (04) : 547 - 557
[40] Harnack inequality for the Lagrangian mean curvature flow
Smoczyk, K
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 1999, 8 (03) : 247 - 258

← 1 2 3 4 5 →