Dirichlet problem for inhomogeneous polyharmonic equation

被引：3
作者：
Kumar, Ajay [1 ]
Prakash, Ravi [2 ]
机构：
[1] Univ Delhi, Dept Math, Delhi 110007, India
[2] Univ Delhi, Rajdhani Coll, Dept Math, New Delhi 110015, India
来源：
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS | 2008年 / 53卷 / 07期
关键词：
Cauchy-Pompeiu representation; polyharmonic equation; higher order Green function; Dirichlet problem;
D O I：
10.1080/17476930801950228
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Based on the explicit form of the Green function for Delta(n) in the unit disc of the complex plane and certain recursive relations, we solve the Dirichlet Problem for the n-Poisson equation.
引用
收藏
页码：643 / 651
页数：9
相关论文
共 11 条
  • [1] Iterated Neumann problem for the higher order Poisson equation
    Begehr, H
    Vanegas, CJ
    [J]. MATHEMATISCHE NACHRICHTEN, 2006, 279 (1-2) : 38 - 57
  • [2] Begehr H, 2002, J REINE ANGEW MATH, V549, P191
  • [3] A hierarchy of integral operators
    Begehr, H
    Hile, GN
    [J]. ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 1997, 27 (03) : 669 - 706
  • [4] Begehr H., 2005, ANLYS MUNICH, V1, P55
  • [5] Begehr H., 1994, COMPLEX ANAL METHODS
  • [6] Begehr H., 2007, ANALYSIS, V27, P359, DOI 10.1524/anly.2007.27.4.359
  • [7] Kumar A., 2006, COMPLEX VAR ELLIPTIC, V51, P209, DOI [10.1080/17476930500454134, DOI 10.1080/17476930500454134]
  • [8] Kumar A., 2008, J APPL FUNCTIONAL AN, V3, P399
  • [9] KUMAR A, 2005, COMPLEX VARIABLES, V50, P597
  • [10] [No title captured]
12