Compound Riemann Hilbert Boundary Value Problems in Complex and Quaternionic Analysis

Bory Reyes Juan; Tamayo Castro Carlos Daniel; Abreu Blaya Ricardo

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Compound Riemann Hilbert Boundary Value Problems in Complex and Quaternionic Analysis

机译：复合黎曼希尔伯特边值问题复杂和四星期期分析

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摘要

The aim of this paper is the study of a class of compound boundary value problems for the homogeneous Dirac equation in two and three dimensions where one of the two boundary conditions (linear conjugation) is loaded. It is shown how the lack of commutativity inherent in the quaternionic product, paradoxically relaxes the conditions to guarantee the solvability of considered problems. Some examples illustrating the results are presented.

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来源
《Advances in applied Clifford algebras》 |2017年第2期|共15页
作者
Bory Reyes Juan; Tamayo Castro Carlos Daniel; Abreu Blaya Ricardo;
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作者单位

Inst Politecn Nacl SEPI ESIME ZAC Mexico City 07738 DF Mexico;

Univ Holguin Fac Informat &

Matemat Holguin 80100 Cuba;

Univ Holguin Fac Informat &

Matemat Holguin 80100 Cuba;

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原文格式 PDF
正文语种 eng
中图分类代数、数论、组合理论;
关键词
Riemann Hilbert problems; Quaternionic analysis;

机译：Riemann Hilbert问题;四元分析;

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4. THE RIEMANN-HILBERT BOUNDARY VALUE PROBLEM FOR FIRST ORDER COMPLEX EQUAITONS OF MIXED TYPE [J] . WEN Guochum Systems Science and Mathematical Sciences . 1999,第4期

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Compound Riemann Hilbert Boundary Value Problems in Complex and Quaternionic Analysis

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