空间R^m中Helmholtz方程矩阵分解的柯西问题

IF 0.4 Q4 MATHEMATICS

Boletim Sociedade Paranaense de Matematica Pub Date : 2022-12-27 DOI:10.5269/bspm.62831

Davron Aslonqulovich Juraev, M. Cavalcanti

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引用次数: 2

摘要

本文研究三维有界区域上Helmholtz方程矩阵分解的解在该区域边界部分上的值的恢复问题，即Cauchy问题。基于Carleman矩阵法构造了该问题的近似解。

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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Cauchy problem for matrix factorizations of the Helmholtz equation in the space R^m

In this paper, we consider the problem of recovering solutions for matrix factorizations of the Helmholtz equation in a three-dimensional bounded domain from their values on a part of the boundary of this domain, i.e., the Cauchy problem. An approximate solution to this problem is constructed based on the Carleman matrix method.

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来源期刊

Boletim Sociedade Paranaense de Matematica MATHEMATICS-

CiteScore

1.40

自引率

0.00%

发文量

140

审稿时长

25 weeks