A Right Inverse Operator for and Applications

被引：0
|
作者：
Delgado, Briceyda B. [1 ]
Kravdienko, Vladislav V. [1 ]
机构：
[1] Southern Fed Univ, Reg Math Ctr, Bolshaya Sadovaya 105-42, Rostov Na Donu 344006, Russia
来源：
ADVANCES IN APPLIED CLIFFORD ALGEBRAS | 2019年 / 29卷 / 03期
关键词：
Div-curl system; Monogenic functions; Helmholtz equation; Metaharmonic conjugate function; Neumann boundary value problem; Maxwell equations; BOUNDARY-VALUE PROBLEM; ELECTROMAGNETIC SCATTERING; LAYER POTENTIALS; FIELDS; WAVES;
D O I：
10.1007/s00006-019-0958-z
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A general solution of the equation is obtained for an arbitrary bounded domain with a Liapunov boundary and . The result is based on the use of classical integral operators of quaternionic analysis. Applications of the main result are considered to a Neumann boundary value problem for the equation as well as to the nonhomogeneous time-harmonic Maxwell system for achiral and chiral media.
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页数：15
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