Density lower bound estimates for local minimizers of the 2d Mumford-Shah energy

被引：5

作者：

De Lellis, Camillo ^{[1
]}

Focardi, Matteo ^{[2
]}

机构：

[1] Univ Zurich, Inst Math, CH-8057 Zurich, Switzerland

[2] Univ Florence, Dipartimento Matemat U Dini, I-50134 Florence, Italy

来源：

MANUSCRIPTA MATHEMATICA | 2013年 / 142卷 / 1-2期

关键词：

EXISTENCE THEOREM;

D O I：

10.1007/s00229-012-0601-y

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove, using direct variational arguments, an explicit energy-treshold criterion for regular points of 2-dimensional Mumford-Shah energy minimizers. From this we infer an explicit constant for the density lower bound of De Giorgi, Carriero and Leaci.

引用

页码：215 / 232

页数：18

共 50 条

[41] A new 2D auxetic CN2 nanostructure with high energy density and mechanical strength
Wei, Qun
Yang, Ying
Gavrilov, Alexander
Peng, Xihong
PHYSICAL CHEMISTRY CHEMICAL PHYSICS, 2021, 23 (07) : 4353 - 4364
[42] 2D Antiferroelectric Hybrid Perovskite with a Large Breakdown Electric Field And Energy Storage Density
Li, Lingli
Li, Xiaoqi
Li, Yizhuo
Huang, Biaohong
Qi, Ji
Acharya, Khimananda
Zhang, Lei
Wang, Zhaosheng
Yang, Teng
Han, Zheng
Li, Bing
Jiang, Xiaoming
Paudel, Tula R.
Hu, Weijin
Zhang, Zhidong
ADVANCED FUNCTIONAL MATERIALS, 2023, 33 (46)
[43] Scalable 2D Hierarchical Porous Carbon Nanosheets for Flexible Supercapacitors with Ultrahigh Energy Density
Yao, Lei
Wu, Qin
Zhang, Peixin
Zhang, Junmin
Wang, Dongrui
Li, Yongliang
Ren, Xiangzhong
Mi, Hongwei
Deng, Libo
Zheng, Zijian
ADVANCED MATERIALS, 2018, 30 (11)
[44] Strichartz type estimates and the well-posedness of an energy critical 2D wave equation in a bounded domain
Ibrahim, S.
Jrad, R.
JOURNAL OF DIFFERENTIAL EQUATIONS, 2011, 250 (09) : 3740 - 3771
[45] Upper bound to the charge-transfer energy on a 2D Wigner lattice in high-Tc cuprates
Kuwata, S
PHYSICA B, 1997, 240 (04): : 322 - 329
[46] Upper bound to the charge-transfer energy on a 2D Wigner lattice in high-Tc cuprates
Hiroshima City Univ, Hiroshima, Japan
Phys B Condens Matter, 4 (322-329):
[47] Energy-Bounded Caging: Formal Definition and 2-D Energy Lower Bound Algorithm Based on Weighted Alpha Shapes
Mahler, Jeffrey
Pokorny, Florian T.
McCarthy, Zoe
van der Stappen, A. Frank
Goldberg, Ken
IEEE ROBOTICS AND AUTOMATION LETTERS, 2016, 1 (01) : 508 - 515
[48] THE SEPARATION PROPERTY FOR 2D CAHN-HILLIARD EQUATIONS: LOCAL, NONLOCAL AND FRACTIONAL ENERGY CASES
Gal, Ciprian G.
Giorgini, Andrea
Grasselli, Maurizio
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2023, 43 (06) : 2270 - 2304
[49] STATE DENSITY IN GAPS IN THE ENERGY-SPECTRUM OF 2D ELECTRONS IN A TRANSVERSE MAGNETIC-FIELD
GAVRILOV, MG
KUKUSHKIN, IV
JETP LETTERS, 1986, 43 (02) : 103 - 107
[50] Development of a 2D code framework for high-energy-density plasmas of X-pinch
Lee, S. -J.
Na, Yong-Su
Kim, Deok-Kyu
JOURNAL OF THE KOREAN PHYSICAL SOCIETY, 2024, 85 (02) : 156 - 168

← 1 2 3 4 5 →