A Robin boundary value problem in the upper half plane for the Bitsadze equation

被引：11
作者：
Linares, Yankis R. [1 ]
Vanegas, Carmen J. [2 ]
机构：
[1] Univ Mil Bolivariana Venezuela, Caracas, Venezuela
[2] Univ Simon Bolivar, Dept Matemat Puras & Aplicadas, Caracas 1080A, Venezuela
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2014年 / 419卷 / 01期
关键词：
Bitsadze equation; Robin boundary condition; NEUMANN;
D O I：
10.1016/j.jmaa.2014.04.056
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article we give the solvability conditions and an integral representation of the solution of a Robin problem for the Bitsadze equation in the upper half plane. In order to do that, we use classical results of complex analysis and carry out the composition of two Robin problems for the Cauchy Riemann operator. (C) 2014 Elsevier Inc. All rights reserved.
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页码：200 / 217
页数：18
相关论文
共 21 条
[1]  
Akosy U, 2010, ADV DYN SYST APPL, V5
[2]  
Begehr H., 2005, Complex Variables, Theory Appl., V50, P1125, DOI [10.1080/02781070500327832, DOI 10.1080/02781070500327832]
[3]  
Begehr H., 2005, Bol. Asoc. Mat. Venez, V12, P217
[4]  
Begehr H., 2005, Bol. Aosc Math. Venezolana, V12, P65
[5]  
Bitsadze AV., 1968, BOUNDARY VALUE PROBL
[6]  
Ciulli S, 2000, Z ANGEW MATH MECH, V80, P681, DOI 10.1002/1521-4001(200010)80:10<681::AID-ZAMM681>3.0.CO
[7]  
2-6
[8]   A FAST ALGORITHM TO SOLVE NONHOMOGENEOUS CAUCHY-RIEMANN EQUATIONS IN THE COMPLEX-PLANE [J].
DARIPA, P .
SIAM JOURNAL ON SCIENTIFIC AND STATISTICAL COMPUTING, 1992, 13 (06) :1418-1432
[9]  
Duren P., 1970, THEORY SPACES
[10]  
Gaertner E., 2006, PhD thesis
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