Polyanalytic boundary value problems for planar domains with harmonic Green function
نویسندگان
چکیده
Abstract There are three basic boundary value problems for the inhomogeneous polyanalytic equation in planar domains, well-posed iterated Schwarz problem, and further two over-determined of Dirichlet Neumann type. These investigated domains having a harmonic Green function. For treated earlier [Ü. Aksoy, H. Begehr, A.O. Çelebi, AV Bitsadze’s observation on bianalytic functions problem. Complex Var Elliptic Equ 64(8): 1257–1274 (2019)], just modification is mentioned. While problem completely discussed arbitrary order, handled order up to three. But generalization likely.
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ژورنال
عنوان ژورنال: Analysis and Mathematical Physics
سال: 2021
ISSN: ['1664-2368', '1664-235X']
DOI: https://doi.org/10.1007/s13324-021-00569-2