Cauchy representation formulas for Maxwell equations in 3-dimensional domains with fractal boundaries

被引：2

作者：

Abreu-Blaya, Ricardo ^{[1
]}

Avila-Avila, Rafael ^{[1
]}

Bory-Reyes, Juan ^{[2
]}

Rodriguez-Dagnino, Ramon M. ^{[3
]}

机构：

[1] Univ Holguin, Fac Informat & Matemat, Holguin 80100, Cuba

[2] Inst Politecn Nacl, ESIME Zacatenco, Mexico City 07738, DF, Mexico

[3] Tecnol Monterrey, Dept Ingn Elect & Comp, Monterrey, NL, Mexico

来源：

BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY | 2015年 / 46卷 / 04期

关键词：

Cauchy representation formulas; Maxwell Equations; fractal boundaries; ELECTROMAGNETIC-FIELDS; OPERATORS; ANALOG;

D O I：

10.1007/s00574-015-0108-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The aim of this paper is to offer a new definition of Cauchy integral associated with Maxwell equations on 3-dimensional domains with fractal boundaries. This new Cauchy integral leads to several types of integral representation formulas, including the Cauchy representation formula for time-harmonic electromagnetic fields. Our approach is based on the framework of exploiting the close and well-defined connection between the quaternionic analysis and Maxwell equations.

引用

页码：681 / 700

页数：20

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