Minimum Principle for the Tikhonov Functional in the Problem of Stable Continuation of a Potential Field from a Surface

被引：0
|
作者：
Laneev, E. B. [1 ]
Chernikova, N. Yu. [1 ]
机构：
[1] RUDN Univ, Moscow 117198, Russia
来源：
DIFFERENTIAL EQUATIONS | 2023年 / 59卷 / 06期
关键词：
D O I：
10.1134/S001226612306006X
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We consider the ill-posed problem of continuation of a potential field into a cylindricaldomain from a surface in three-dimensional space. An approximate solution of the problem isconstructed that is stable with respect to the given field. The continuation of the potential field iscarried out by solving an ill-posed mixed problem for the Laplace equation in a cylindrical domainof rectangular cross-section. Tikhonov's regularization method is used to construct a stablesolution of the problem.
引用
收藏
页码：769 / 780
页数：12
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