The Riemann boundary value problem related to the time-harmonic Maxwell equations
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Published:2021-09-13
Issue:1
Volume:2021
Page:
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ISSN:1029-242X
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Container-title:Journal of Inequalities and Applications
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language:en
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Short-container-title:J Inequal Appl
Author:
Yang Pei,Wang Liping,Xu Zuoliang
Abstract
AbstractIn this paper, we first give the definition of Teodorescu operator related to the $\mathcal{N}$
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 $\mathcal{N}$
N
matrix operator. Finally, using the intimate relationship of the corresponding Cauchy-type integral between the $\mathcal{N}$
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.
Funder
national natural science foundation of china
natural science foundation of hebei province
key foundation of hebei normal university
outstanding innovative talents cultivation funded programs 2019 of renmin univertity of china
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis
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