Boundary value problem for a generalized Cauchy–Riemann equation with singular coefficients

2016 ◽  
Vol 52 (5) ◽  
pp. 616-629 ◽  
Author(s):  
A. B. Rasulov ◽  
A. P. Soldatov
Keyword(s):  
Boundary Value Problem ◽  
Boundary Value ◽  
Riemann Equation ◽  
Singular Coefficients ◽  
Cauchy Riemann

A Robin boundary value problem for the Cauchy–Riemann operator in a ring domain

2022 ◽  
Vol 0 (0) ◽  
Author(s):  
İlker Gençtürk ◽  
Yankis R. Linares
Keyword(s):  
Boundary Condition ◽  
Boundary Value Problem ◽  
Dirichlet Boundary Condition ◽  
Dirichlet Boundary ◽  
Ring Domain ◽  
Riemann Equation ◽  
Robin Condition ◽  
Cauchy Riemann ◽  
Robin Boundary ◽  
Robin Boundary Value Problem

Abstract In this paper, we study a Robin condition for the inhomogeneous Cauchy–Riemann equation w z ¯ = f {w_{\bar{z}}=f} in a ring domain R, by reformulating it as a Dirichlet boundary condition.

MULTIDIMENSIONAL ANALOGUES OF THE RIEMANN–HILBERT BOUNDARY VALUE PROBLEM

2007 ◽  
Vol 12 (2) ◽  
pp. 205-214
Author(s):  
Eugenijus Paliokas
Keyword(s):  
Boundary Value Problem ◽  
Boundary Value Problems ◽  
Boundary Value ◽  
Different Types ◽  
Hilbert Boundary Value Problem ◽  
Cauchy Riemann

Multidimensional generalizations of the Cauchy‐Riemann systems and two different types of analogues of the Riemann–Hilbert boundary value problems for these systems are considered.

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