确定系数椭圆型方程的反问题

Q3 Mathematics

WSEAS Transactions on Mathematics Pub Date : 2023-05-09 DOI:10.37394/23206.2023.22.35

B. Aliyeva

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引用次数: 0

摘要

本文讨论了一类线性椭圆型方程中未知系数的确定逆问题。证明了一类椭圆型线性方程反问题解的存在性、唯一性和稳定性定理。利用顺序测量的方法，构造了一个正则化算法来确定几个系数。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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The Inverse Problem of Determining the Coefficients Elliptic Equation

The paper considers the inverse problem in determining unknown coefficients in a linear elliptic equation. Theorems of existence, uniqueness and stability of the solution of inverse problems for a linear equation of elliptic type are proved. Using the method of sequential measurements, a regularizing algorithm is constructed to determine several coefficients.

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来源期刊

WSEAS Transactions on Mathematics Mathematics-Discrete Mathematics and Combinatorics

CiteScore

1.30

自引率

0.00%

发文量

期刊介绍： WSEAS Transactions on Mathematics publishes original research papers relating to applied and theoretical mathematics. We aim to bring important work to a wide international audience and therefore only publish papers of exceptional scientific value that advance our understanding of these particular areas. The research presented must transcend the limits of case studies, while both experimental and theoretical studies are accepted. It is a multi-disciplinary journal and therefore its content mirrors the diverse interests and approaches of scholars involved with linear algebra, numerical analysis, differential equations, statistics and related areas. We also welcome scholarly contributions from officials with government agencies, international agencies, and non-governmental organizations.