Invertibility Criteria for the Biharmonic Single-Layer Potential

IF 0.8 3区数学 Q2 MATHEMATICS

Integral Equations and Operator Theory Pub Date : 2024-02-22 DOI:10.1007/s00020-024-02758-7

引用次数: 0

Abstract

While the single-layer operator for the Laplacian is well understood, questions remain concerning the single-layer operator for the Bilaplacian, particularly with regard to invertibility issues linked with degenerate scales. In this article, we provide simple sufficient conditions ensuring this invertibility for a wide range of problems.

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双谐波单层势的不可逆性标准

摘要虽然拉普拉斯的单层算子已为人们所熟知，但有关比拉普拉斯的单层算子的问题依然存在，特别是与退化尺度相关的可逆性问题。在这篇文章中，我们提供了简单的充分条件，以确保各种问题的可逆性。

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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来源期刊

Integral Equations and Operator Theory 数学-数学

CiteScore

1.60

自引率

0.00%

发文量

审稿时长

6 months

期刊介绍： Integral Equations and Operator Theory (IEOT) is devoted to the publication of current research in integral equations, operator theory and related topics with emphasis on the linear aspects of the theory. The journal reports on the full scope of current developments from abstract theory to numerical methods and applications to analysis, physics, mechanics, engineering and others. The journal consists of two sections: a main section consisting of refereed papers and a second consisting of short announcements of important results, open problems, information, etc.