On a new method for constructing the Green function of the Dirichlet problem for the polyharmonic equation

被引:49
作者
Kal'menov, T. Sh. [1 ]
Suragan, D. [1 ]
机构
[1] Minist Educ & Sci, Inst Math Comp Sci & Mech, Alma Ata, Kazakhstan
关键词
Harmonic Function; Green Function; Dirichlet Problem; Fundamental Solution; Dirichlet Boundary Condition;
D O I
10.1134/S0012266112030160
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
By using a special decomposition of the fundamental solution, we construct a new representation of the Green function of the Dirichlet problem for the polyharmonic equation in a ball.
引用
收藏
页码:441 / 445
页数:5
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