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有界域泊松方程解的Carleman公式

Q3 Mathematics
Ural Mathematical Journal Pub Date : 2021-12-30 DOI:10.15826/umj.2021.2.008
É. N. Sattorov, Z. E. Ermamatova
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引用次数: 0

摘要

我们提出了一个显式延拓公式，用于求解区域中泊松方程的Cauchy问题，从其值和其在部分边界上的正导数值。在Carleman—Yarmuhamedov函数方法的基础上，构造了该问题的延拓公式。
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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CARLEMAN'S FORMULA OF A SOLUTIONS OF THE POISSON EQUATION IN BOUNDED DOMAIN
We suggest an explicit continuation formula for a solution to the Cauchy problem for the Poisson equation in a domain from its values and values of its normal derivative on a part of the boundary. We construct the continuation formula of this problem based on the Carleman--Yarmuhamedov function method.
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来源期刊
Ural Mathematical Journal
Ural Mathematical Journal Mathematics-Mathematics (all)
CiteScore
1.30
自引率
0.00%
发文量
12
审稿时长
16 weeks
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