Schwarz problem for the inhomogeneous poly-analytic equation in  a half-lens

In this paper, we consider the Schwarz boundary-value problem for the poly-analytic equation in the half-lens domain.First, using the parqueting-reflection principle, we construct the Poly-Schwarz and T-type operators in the half-lens domain, and then we study the properties of these operators.Furthermore, we establish solvability conditions and examine the Schwarz boundaryvalue problem for the inhomogeneous poly-analytic equation in a half-lens.

Authors

Publication Details

Journal
Problemy analiza
Published
2025-11-01
DOI
https://doi.org/10.15393/j3.art.2025.18950
Primary Topic
Algebraic and Geometric Analysis
Type
article
Field-Weighted Citation Impact
0.00
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article

Schwarz problem for the inhomogeneous poly-analytic equation in  a half-lens

A. Darya, N. Darya, K. Ebrahimzadeh
Problemy analiza
Algebraic and Geometric Analysis
article

Schwarz problem for the inhomogeneous poly-analytic equation in  a half-lens

A. Darya, N. Darya, K. Ebrahimzadeh
article en

Abstract

In this paper, we consider the Schwarz boundary-value problem for the poly-analytic equation in the half-lens domain.First, using the parqueting-reflection principle, we construct the Poly-Schwarz and T-type operators in the half-lens domain, and then we study the properties of these operators.Furthermore, we establish solvability conditions and examine the Schwarz boundaryvalue problem for the inhomogeneous poly-analytic equation in a half-lens.

Problemy analizaVol. 32(3)
Openalex Percentile: Top 53%
Algebraic and Geometric Analysis
DOIOpen Access PDFOpenAlex
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Schwarz problem for the inhomogeneous poly-analytic equation in  a half-lens — A. Darya, N. Darya, et al. · Problemy analiza (2025) | TGRS Research Map | TGRS