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Some properties and applications of the Teodorescu operator associated to the Helmholtz equation
Pei Yang1, Liping Wang1, Long Gao1
1College of Mathematics and Information Science, Hebei Normal University, Shijiazhuang, Hebei 050024 P.R. China.
Journal of Inequalities and Applications
|November 7, 2017
Abstract:
In this paper, we first define the Teodorescu operator [Formula: see text] related to the Helmholtz equation and discuss its properties in quaternion analysis. Then we propose the Riemann boundary value problem related to the Helmholtz equation. Finally we give the integral representation of the boundary value problem by using the previously defined operator.
Keywords:
Helmholtz equationRiemann boundary value problemTeodorescu operatorintegral representationquaternion analysis
