ON A BOUNDARY-VALUE PROBLEM FOR THE POISSON EQUATION AND THE CAUCHY-RIEMANN EQUATION IN A LENS

In this paper, we consider the Dirichlet boundary-value problem for complex partial differential equations in a lens. With the help of the harmonic Green function, the Dirichlet boundary-value problem is solved explicitly for the Poisson equation in a lens. In particular, the boundary behaviors at corner points are considered. In addition, we study the explicit solvability of the Dirich- let boundary-value problem for the homogeneous Cauchy–Riemann equation in the lens.

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Publication Details

Journal
Problemy analiza
Published
2025-02-01
DOI
https://doi.org/10.15393/j3.art.2025.16810
Citations
1
Primary Topic
Algebraic and Geometric Analysis
Type
article
Field-Weighted Citation Impact
3.73
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article

ON A BOUNDARY-VALUE PROBLEM FOR THE POISSON EQUATION AND THE CAUCHY-RIEMANN EQUATION IN A LENS

N. Taghizadeh, A. Darya
1 citations
Problemy analiza
Algebraic and Geometric Analysis
3.73
article

ON A BOUNDARY-VALUE PROBLEM FOR THE POISSON EQUATION AND THE CAUCHY-RIEMANN EQUATION IN A LENS

N. Taghizadeh, A. Darya
article en
1 citations

Abstract

In this paper, we consider the Dirichlet boundary-value problem for complex partial differential equations in a lens. With the help of the harmonic Green function, the Dirichlet boundary-value problem is solved explicitly for the Poisson equation in a lens. In particular, the boundary behaviors at corner points are considered. In addition, we study the explicit solvability of the Dirich- let boundary-value problem for the homogeneous Cauchy–Riemann equation in the lens.

Problemy analizaVol. 32(1)
Openalex Percentile: Top 13%
Algebraic and Geometric Analysis
3.73
DOIOpen Access PDFOpenAlex
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ON A BOUNDARY-VALUE PROBLEM FOR THE POISSON EQUATION AND THE CAUCHY-RIEMANN EQUATION IN A LENS — N. Taghizadeh, A. Darya · Problemy analiza (2025) | TGRS Research Map | TGRS