On solvability of the Neumann boundary value problem for a non-homogeneous polyharmonic equation in a ball

被引：7

作者：

Turmetov, Batirkhan K. ^{[1
]}

Ashurov, Ravshan R. ^{[2
]}

机构：

[1] Akhmet Yasawi Int Kazakh Turkish Univ, Dept Math, Turkistan 161200, Kazakhstan

[2] Natl Univ Uzbekistan, Inst Math, Tashkent 100125, Uzbekistan

来源：

BOUNDARY VALUE PROBLEMS | 2013年

关键词：

non-homogeneous polyharmonic equation; the Neumann problem; the necessary and sufficient conditions for solvability; DIRICHLET PROBLEM; GREEN-FUNCTION;

D O I：

10.1186/1687-2770-2013-162

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work the Neumann boundary value problem for a non-homogeneous polyharmonic equation is studied in a unit ball. Necessary and sufficient conditions for solvability of this problem are found. To do this we first reduce the Neumann problem to the Dirichlet problem for a different non-homogeneous polyharmonic equation and then use the Green function of the Dirichlet problem.

引用

页数：15

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BOUNDARY VALUE PROBLEMS, 2013,

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