Nonlinear Riemann-Hilbert problems with Lipschitz continuous boundary condition

被引:4
作者
Wegert, E
Efendiev, MA
机构
[1] TU Bergakad Freiberg, Fak Math & Informat, D-09599 Freiburg, Germany
[2] Free Univ Berlin, Inst Math 1, D-14195 Berlin, Germany
关键词
D O I
10.1017/S0308210500000421
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Using a norm inequality :for singular integral operators in pairs of weighted Lebesgue spaces we are able to prove existence and uniqueness results for solutions of nonlinear Riemann-Hilbert problems with non-compact Lipschitz continuous restriction curves.
引用
收藏
页码:793 / 800
页数:8
相关论文
共 18 条
[1]  
[Anonymous], 1921, MATH ANN
[2]  
Brown A., 1964, Journal Fur die Reine und Angewandte Mathematik, V213, P89
[3]  
EFENDIEV MA, 1987, DOKL AKAD NAUK SSSR+, V294, P288
[4]  
EFENDIEV MA, 9214 U STUTTGART, P1
[5]  
EFENDIEV MA, 1987, SOV MATH DOKL, V35, P535
[6]   POLYNOMIAL HULLS OF SETS FIBERED OVER THE CIRCLE [J].
FORSTNERIC, F .
INDIANA UNIVERSITY MATHEMATICS JOURNAL, 1988, 37 (04) :869-889
[7]  
Garnett JB., 2007, Bounded Analytic Functions
[8]  
GOHBERG IC, 1979, INTRO THEORY 1 DIMEN
[9]  
Helson H., 1960, ANN MAT PUR APPL, V51, P107
[10]  
KOOSIS P, 1980, LECT NOTES SERIES, V40