Boundary value problems for modified Dirac operators in Clifford analysis

被引：1

作者：

Yuan, Hongfen ^{[1
]}

机构：

[1] Hebei Univ Engn, Coll Sci, Handan 056038, Peoples R China

来源：

BOUNDARY VALUE PROBLEMS | 2015年

关键词：

modified Dirac operator; Almansi type expansion; Riemann type boundary problem; Riquier problem;

D O I：

10.1186/s13661-015-0426-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we discuss two kinds of Riemann type boundary value problems for the operator , where lambda is a complex number. Furthermore, we establish the Almansi type expansion for the operator , where . As applications of the expansion, we investigate the Riemann type boundary value problem and the generalized Riquier problem for the operator (D) over tilde (k)(lambda).

引用

页数：11

共 50 条

[1] Boundary value problems for modified Dirac operators in Clifford analysis
Hongfen Yuan
[J]. Boundary Value Problems, 2015
[2] Riemann Boundary Value Problems for Iterated Dirac Operator on the Ball in Clifford Analysis
Ku, Min
Fu, Yingxiong
Uwe, Kaehler
Paula, Cerejeiras
[J]. COMPLEX ANALYSIS AND OPERATOR THEORY, 2013, 7 (03) : 673 - 693
[3] Riemann Boundary Value Problems for Iterated Dirac Operator on the Ball in Clifford Analysis
Min Ku
Yingxiong Fu
Kähler Uwe
Cerejeiras Paula
[J]. Complex Analysis and Operator Theory, 2013, 7 : 673 - 693
[4] Perturbed Dirac Operators and Boundary Value Problems
Liu, Xiaopeng
Liu, Yuanyuan
[J]. AXIOMS, 2024, 13 (06)
[5] Boundary Value Problems for Dirac Operators on Graphs
Richtsfeld, Alberto
[J]. SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, 2024, 20
[6] Local Boundary Value Problems for Dirac Type Operators
Ly, I.
Tarkhanov, N. N.
[J]. SIBERIAN MATHEMATICAL JOURNAL, 2010, 51 (05) : 847 - 859
[7] Local Boundary Value Problems for Dirac Type Operators
I. Ly
N. N. Tarkhanov
[J]. Siberian Mathematical Journal, 2010, 51 : 847 - 859
[8] RIQUIER AND DIRICHLET BOUNDARY VALUE PROBLEMS FOR SLICE DIRAC OPERATORS
Yuan, Hongfen
[J]. BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2018, 55 (01) : 149 - 163
[9] THE INDEX OF FAMILIES OF BOUNDARY-VALUE-PROBLEMS FOR DIRAC OPERATORS
NICOLAESCU, LI
[J]. COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1995, 320 (03): : 347 - 352
[10] Discrete Dirac Operators in Clifford Analysis
Nelson Faustino
Uwe Kähler
Frank Sommen
[J]. Advances in Applied Clifford Algebras, 2007, 17 : 451 - 467

← 1 2 3 4 5 →