On the ill-posed problem for the Poisson equation

被引：0
|
作者：
Imanberdiyev, Kanzharbek B. [1 ]
Aimenova, Karakoz A. [1 ]
机构：
[1] Inst Math & Math Modeling, Alma Ata 050010, Kazakhstan
来源：
ADVANCEMENTS IN MATHEMATICAL SCIENCES (AMS 2015) | 2015年 / 1676卷
关键词：
Poisson equation; Ill-posed problem; Inverse problem; Optimal control; LAPLACE EQUATION; CAUCHY-PROBLEM;
D O I：
10.1063/1.4930467
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we consider the boundary value problem in two-dimensional rectangular domain for the Poisson equation. The studied ill-posed boundary value problem is reduced to the optimal control problem. In terms of solutions of the adjoint boundary value problem, the necessary and sufficient conditions of optimality are established. It is found criterion for strong solvability of the ill-posed boundary value problem.
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页数：7
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