schwarz problem
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2021 ◽  
Vol 11 (3) ◽  
Author(s):  
Heinrich Begehr ◽  
Bibinur Shupeyeva

AbstractThere are three basic boundary value problems for the inhomogeneous polyanalytic equation in planar domains, the well-posed iterated Schwarz problem, and further two over-determined iterated problems of Dirichlet and Neumann type. These problems are investigated in planar domains having a harmonic Green function. For the Schwarz problem, treated earlier [Ü. Aksoy, H. Begehr, A.O. Çelebi, AV Bitsadze’s observation on bianalytic functions and the Schwarz problem. Complex Var Elliptic Equ 64(8): 1257–1274 (2019)], just a modification is mentioned. While the Dirichlet problem is completely discussed for arbitrary order, the Neumann problem is just handled for order up to three. But a generalization to arbitrary order is likely.



2020 ◽  
Vol 251 (6) ◽  
pp. 876-901
Author(s):  
V. G. Nikolaev
Keyword(s):  






2019 ◽  
Vol 244 (4) ◽  
pp. 655-670 ◽  
Author(s):  
V. G. Nikolaev
Keyword(s):  




2019 ◽  
Vol 10 (2) ◽  
pp. 49-64
Author(s):  
F. Joveini ◽  
◽  
M. Akbari ◽  
Keyword(s):  


2018 ◽  
Vol 64 (8) ◽  
pp. 1257-1274 ◽  
Author(s):  
Ümit Aksoy ◽  
Heinrich Begehr ◽  
A. Okay Çelebi




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