The Riemann boundary value problem related to the time-harmonic Maxwell equations

In this paper, we first give the definition of Teodorescu operator related to the N matrix operator and discuss a series of properties of this operator, such as uniform boundedness, Hölder continuity and so on. Then we propose the Riemann boundary value problem related to the N matrix operator. Fina...

Full description

Saved in:
Bibliographic Details
Published in:Journal of inequalities and applications 2021-09, Vol.2021 (1), p.1-20, Article 154
Main Authors: Yang, Pei, Wang, Liping, Xu, Zuoliang
Format: Article
Language:English
Subjects:
Analysis
Applications of Mathematics
Boundary value problems
Continuity (mathematics)
Integrals
Mathematical analysis
Mathematics
Mathematics and Statistics
Maxwell's equations
N $\mathcal{N}$ matrix operator
Operators (mathematics)
Quaternion analysis
Riemann boundary value problem
Teodorescu operator
Time-harmonic Maxwell equations
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In this paper, we first give the definition of Teodorescu operator related to the N matrix operator and discuss a series of properties of this operator, such as uniform boundedness, Hölder continuity and so on. Then we propose the Riemann boundary value problem related to the N matrix operator. Finally, using the intimate relationship of the corresponding Cauchy-type integral between the N matrix operator and the time-harmonic Maxwell equations, we investigate the Riemann boundary value problem related to the time-harmonic Maxwell equations and obtain the integral representation of the solution.
ISSN:1029-242X
1025-5834
1029-242X
DOI:10.1186/s13660-021-02687-8