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

页码：1051 / 1056

页数：6

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