On the Dirichlet-Riquier problem for biharmonic equations

被引：13
作者：
Karachik, V. V. [1 ]
Torebek, B. T. [2 ]
机构：
[1] South Ural State Univ, Chelyabinsk, Russia
[2] MON RK, Inst Math & Math Modeling, Alma Ata, Kazakhstan
来源：
MATHEMATICAL NOTES | 2017年 / 102卷 / 1-2期
关键词：
biharmonic equation; boundary-value problem; normal derivatives; Laplacian; BOUNDARY-VALUE-PROBLEMS; POLYHARMONIC EQUATION; POLYNOMIAL SOLUTIONS; ITERATIVE METHOD; OPERATOR; SOLVABILITY;
D O I：
10.1134/S0001434617070045
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The existence of a solution of the Dirichlet-Riquier problem for a homogeneous biharmonic equation in the unit ball with boundary operators up to third order containing normal derivatives and the Laplacian is studied. Existence theorems for the solutions of the problem are proved.
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页码：31 / 42
页数：12
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