SOLUTIONS OF THE DIRICHLET PROBLEM BY MEANS OF A SINGLE LAYER POTENTIAL

被引:0
作者
PAQUET, L
机构
来源
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE | 1991年 / 312卷 / 06期
关键词
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We study the operator of single layer potential on the boundary-GAMMA in the situations: capacity of GAMMA-smaller, bigger or equal to one and the associated quadratic form. Different variational formulations for the density of charge q on GAMMA are compared as well as the different behaviours at infinity of the corresponding potential. The approximation of the charge density q on GAMMA is studied, as well as the solvability of the approximate problem in relation with the equilibrium density e.
引用
收藏
页码:465 / 470
页数:6
相关论文
共 8 条
[1]  
GIROIRE J, 1976, FORMULATION VARIATIO
[2]  
HENRICI P, 1973, APPLIED COMPUTATIONA, V3
[3]  
HSIAO GC, 1984, ARCH RATION MECH AN, P179
[4]  
Leroux M. N., 1974, THESIS U RENNES
[5]  
Tsuji M., 1958, POTENTIAL THEORY MOD
[6]  
Wendland W.L., 1979, MONOGRAPHS STUDIES M, V3
[7]  
WENDLAND WL, 1983, 775 TH PREPR
[8]  
[No title captured]