Gradient Estimates for Solutions of the Lam, System with Partially Infinite Coefficients

被引：57
作者：
Bao, JiGuang [1 ]
Li, HaiGang [1 ]
Li, YanYan [2 ]
机构：
[1] Beijing Normal Univ, Lab Math & Complex Syst, Sch Math Sci, Beijing 100875, Peoples R China
[2] Rutgers State Univ, Dept Math, Piscataway, NJ 08854 USA
来源：
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS | 2015年 / 215卷 / 01期
关键词：
ELECTRIC-FIELD; ELLIPTIC-EQUATIONS; BLOW-UP; PERFECT; REGULARITY; STRESSES; ELASTICITY; INCLUSIONS; BOUNDARY; FIBERS;
D O I：
10.1007/s00205-014-0779-0
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We establish upper bounds on the blow up rate of the gradients of solutions of the Lam, system with partially infinite coefficients in dimension two as the distance between the surfaces of discontinuity of the coefficients of the system tends to zero.
引用
收藏
页码：307 / 351
页数：45
相关论文
共 37 条
[1]   ESTIMATES NEAR THE BOUNDARY FOR SOLUTIONS OF ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS SATISFYING GENERAL BOUNDARY CONDITIONS .1. [J].
AGMON, S ;
DOUGLIS, A ;
NIRENBERG, L .
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1959, 12 (04) :623-727
[2]   ESTIMATES NEAR BOUNDARY FOR SOLUTIONS OF ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS SATISFYING GENERAL BOUNDARY CONDITIONS .2. [J].
AGMON, S ;
DOUGLIS, A ;
NIRENBERG, L .
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1964, 17 (01) :35-&
[3]   Gradient estimates for solutions to the conductivity problem [J].
Ammari, H ;
Kang, HB ;
Lim, M .
MATHEMATISCHE ANNALEN, 2005, 332 (02) :277-286
[4]   Optimal estimates for the electric field in two dimensions [J].
Ammari, Habib ;
Kang, Hyeonbae ;
Lee, Hyundae ;
Lee, Jungwook ;
Lim, Mikyoung .
JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 2007, 88 (04) :307-324
[5]  
Ammari H, 2008, Q APPL MATH, V66, P139
[6]   Estimates for the electric field in the presence of adjacent perfectly conducting spheres [J].
Ammari, Habib ;
Dassios, George ;
Kang, Hyeonbae ;
Lim, Mikyoung .
QUARTERLY OF APPLIED MATHEMATICS, 2007, 65 (02) :339-355
[7]   Strong convergence of the solutions of the linear elasticity and uniformity of asymptotic expansions in the presence of small inclusions [J].
Ammari, Habib ;
Kang, Hyeonbae ;
Kim, Kyoungsun ;
Lee, Hyundae .
JOURNAL OF DIFFERENTIAL EQUATIONS, 2013, 254 (12) :4446-4464
[8]   Spectral Analysis of the Neumann-Poincar, Operator and Characterization of the Stress Concentration in Anti-Plane Elasticity [J].
Ammari, Habib ;
Ciraolo, Giulio ;
Kang, Hyeonbae ;
Lee, Hyundae ;
Yun, KiHyun .
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2013, 208 (01) :275-304
[9]   Decomposition theorems and fine estimates for electrical fields in the presence of closely located circular inclusions [J].
Ammari, Habib ;
Kang, Hyeonbae ;
Lee, Hyundae ;
Lim, Mikyoung ;
Zribi, Habib .
JOURNAL OF DIFFERENTIAL EQUATIONS, 2009, 247 (11) :2897-2912
[10]   Damage analysis of fiber composites Part I: Statistical analysis on fiber scale [J].
Babuska, I ;
Andersson, B ;
Smith, PJ ;
Levin, K .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1999, 172 (1-4) :27-77
1234