The inverse problem for linear elliptic systems of first order with Riemann–Hilbert-type map in multiply connected domains

2009 ◽  
Vol 54 (9) ◽  
pp. 811-824 ◽  
Author(s):  
Guo Chun Wen ◽  
Zuo Liang Xu
Keyword(s):  
Inverse Problem ◽  
Elliptic Systems ◽  
Multiply Connected Domains ◽  
Multiply Connected ◽  
First Order ◽  
Hilbert Type

First-order elliptic systems degenerated at the boundary

1993 ◽  
Vol 123 (6) ◽  
pp. 1203-1212
Author(s):  
Abduhamid Dzhuraev
Keyword(s):  
Boundary Conditions ◽  
Explicit Formula ◽  
Elliptic Systems ◽  
Bounded Solutions ◽  
Order Linear ◽  
Multiply Connected ◽  
First Order

SynopsisIn this paper we state that the bounded solutions of general first order linear elliptic systems of two equations in bounded multiply-connected plane domains, degenerated at the boundary, are determined in domains without any boundary conditions, provided the boundary is not characteristic for this system. The explicit formula for calculating the index of the system is derived.

Conformal and Quasiconformal Mappings of Close Multiply-Connected Domains

2002 ◽  
Vol 9 (2) ◽  
pp. 367-382
Author(s):  
Z. Samsonia ◽  
L. Zivzivadze
Keyword(s):  
Integral Equations ◽  
Quasiconformal Mappings ◽  
Multiply Connected Domains ◽  
Multiply Connected

Abstract Doubly-connected and triply-connected domains close to each other in a certain sense are considered. Some questions connected with conformal and quasiconformal mappings of such domains are studied using integral equations.

Sign in / Sign up

Export Citation Format

Share Document