On solvability of some nonlocal boundary value problems with the Hadamard boundary operator

被引：5

作者：

Sadybekov, Makhmud A. ^{[1
]}

Turmetov, Batirkhan Kh ^{[2
]}

Muratbekova, Moldir A. ^{[2
]}

机构：

[1] Inst Math & Math Modeling, Alma Ata 050010, Kazakhstan

[2] A Yesevi Univ, Turkestan 161200, Kazakhstan

来源：

INTERNATIONAL CONFERENCE ON ANALYSIS AND APPLIED MATHEMATICS (ICAAM 2014) | 2014年 / 1611卷

关键词：

The Laplace equation; Nonlocal problem; Hadamard operator; Solvability; Smoothness;

D O I：

10.1063/1.4893845

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the present work, solvability of some nonlocal problems for the Laplace equation in a ball are studied. Operators of a fractional order in the Hadamard sense are considered as boundary operators. Correctness of the considered problems is established. Smoothness of the solution of considered problems is also studied in the Holder classes depending on the order of boundary operators.

引用

页码：266 / 270

页数：5

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