不含轴平面上的边值问题

IF 1.2 2区数学 Q2 MATHEMATICS, APPLIED

Advances in Applied Clifford Algebras Pub Date : 2025-07-30 DOI:10.1007/s00006-025-01396-5

Vladimir Vasilyev, Alexander Vasilyev, Nataliya Agarkova

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引用次数: 0

摘要

考虑了沿坐标轴有切割的平面上的模型椭圆型伪微分方程。利用椭圆符号的特殊波分解可以描述Sobolev-Slobodetskii空间中伪微分方程的核。为了湮灭核，他们在切边上使用了一些边界条件。将所得到的边值问题的唯一可解性简化为若干线性积分方程组的唯一可解性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

On a Certain Boundary Value Problem in a Plane Excluding Axes

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On a Certain Boundary Value Problem in a Plane Excluding Axes

A model elliptic pseudo-differential equation is considered in a plane with cuts along coordinate axes. Using special wave factorization for an elliptic symbol one can describe the kernel of the pseudo-differential equation in Sobolev–Slobodetskii space. To annihilate the kernel they use some boundary conditions on cuts sides. A unique solvability for obtained boundary value problem is reduced to the unique solvability for a system of certain linear integral equations.

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来源期刊

Advances in Applied Clifford Algebras 数学-物理：数学物理

CiteScore

2.20

自引率

13.30%

发文量

审稿时长

3 months

期刊介绍： Advances in Applied Clifford Algebras (AACA) publishes high-quality peer-reviewed research papers as well as expository and survey articles in the area of Clifford algebras and their applications to other branches of mathematics, physics, engineering, and related fields. The journal ensures rapid publication and is organized in six sections: Analysis, Differential Geometry and Dirac Operators, Mathematical Structures, Theoretical and Mathematical Physics, Applications, and Book Reviews.