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.
引用
收藏
页数：15
相关论文
共 50 条
  • [31] A High Contrast Video Inverse Tone Mapping Operator for High Dynamic Range Applications
    Mohammadi, Pedram
    Pourazad, Mahsa T.
    Nasiopoulos, Panos
    2019 IEEE INTERNATIONAL SYMPOSIUM ON CIRCUITS AND SYSTEMS (ISCAS), 2019,
  • [32] Perturbed preconditioned inverse iteration for operator eigenvalue problems with applications to adaptive wavelet discretization
    Thorsten Rohwedder
    Reinhold Schneider
    Andreas Zeiser
    Advances in Computational Mathematics, 2011, 34 : 43 - 66
  • [33] An Entropy-based Inverse Tone Mapping Operator for High Dynamic Range Applications
    Mohammadi, Pedram
    Pourazad, Mahsa T.
    Nasiopoulos, Panos
    2018 9TH IFIP INTERNATIONAL CONFERENCE ON NEW TECHNOLOGIES, MOBILITY AND SECURITY (NTMS), 2018,
  • [34] An Inexact Spingarn’s Partial Inverse Method with Applications to Operator Splitting and Composite Optimization
    Maicon Marques Alves
    Samara Costa Lima
    Journal of Optimization Theory and Applications, 2017, 175 : 818 - 847
  • [35] An Inexact Spingarn's Partial Inverse Method with Applications to Operator Splitting and Composite Optimization
    Alves, Maicon Marques
    Lima, Samara Costa
    JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2017, 175 (03) : 818 - 847
  • [36] Perturbed preconditioned inverse iteration for operator eigenvalue problems with applications to adaptive wavelet discretization
    Rohwedder, Thorsten
    Schneider, Reinhold
    Zeiser, Andreas
    ADVANCES IN COMPUTATIONAL MATHEMATICS, 2011, 34 (01) : 43 - 66
  • [37] Generalized Inverse Operator for an Integrodifferential Operator in the Banach Space
    Zhuravlev V.F.
    Journal of Mathematical Sciences, 2020, 249 (4) : 609 - 628
  • [38] Inverse Weyl transform/operator
    M. Kim
    J. S. Ben-Benjamin
    L. Cohen
    Journal of Pseudo-Differential Operators and Applications, 2017, 8 : 661 - 678
  • [39] INVERSE PROBLEM FOR LAPLACE OPERATOR
    SCHULZE, BW
    MATHEMATISCHE NACHRICHTEN, 1975, 67 : 225 - 235
  • [40] Inverse Weyl transform/operator
    Kim, M.
    Ben-Benjamin, J. S.
    Cohen, L.
    JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS, 2017, 8 (04) : 661 - 678
12345