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

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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