On an Ill-posed Problem for a Biharmonic Equation

被引：10
|
作者：
Kal'menov, Tynysbek [1 ]
Iskakova, Ulzada [1 ]
机构：
[1] Inst Math & Math Modeling, Alma Ata, Kazakhstan
来源：
FILOMAT | 2017年 / 31卷 / 04期
关键词：
biharmonic equation; boundary value problem; method of spectral decomposition; BOUNDARY-VALUE PROBLEM; FUNDAMENTAL-SOLUTIONS; LAPLACE EQUATION; CAUCHY-PROBLEM;
D O I：
10.2298/FIL1704051K
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A local boundary value problem for the biharmonic equation in a rectangular domain is considered. Boundary conditions are given on all boundary of the domain. We show that the considered problem is self-adjoint. Herewith the problem is ill-posed. We show that the stability of solution to the problem is disturbed. Necessary and sufficient conditions of existence of the problem solution are found.
引用
收藏
页码：1051 / 1056
页数：6
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