CAUCHY TYPE INTEGRALS AND A BOUNDARY VALUE PROBLEM IN A COMPLEX CLIFFORD ANALYSIS

被引：0

作者：

曹南斌 ^{[1
]}

李尊凤 ^{[2
]}

杨贺菊 ^{[2
]}

乔玉英 ^{[3
]}

机构：

[1] School of Mathematics and Science,Hebei GEO University

[2] College of Science,Hebei University of Science and Technology

[3] School of Mathematical Sciences,Hebei Normal University

来源：

Acta Mathematica Scientia | 2024年 / 44卷 / 01期

关键词：

D O I：

暂无

中图分类号：

O175.8 [边值问题];

学科分类号：

摘要：

Clifford analysis is an important branch of modern analysis;it has a very important theoretical significance and application value,and its conclusions can be applied to the Maxwell equation,Yang-Mill field theory,quantum mechanics and value problems.In this paper,we first give the definition of a quasi-Cauchy type integral in complex Clifford analysis,and get the Plemelj formula for it.Second,we discuss the H?lder continuity for the Cauchy-type integral operators with values in a complex Clifford algebra.Finally,we prove the existence of solutions for a class of linear boundary value problems and give the integral representation for the solution.

引用

页码：369 / 385

页数：17

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