Work

On a Boundary-value Problem for the Poisson Equation and the Cauchy-riemann Equation in a Lens

Year: 2025

Type: article

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 boundaryvalue 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 Dirichlet boundary-value problem for the homogeneous Cauchy-Riemann equation in the lens.

Source: Problemy analiza

DOI: 10.15393/j3.art.2025.16810

Authors: A. Darya, N. Taghizadeh

Institution: University of Guilan

Language: English

Topic: Differential Equations and Boundary Problems

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4408006269

FWCI: 1.924

Cites:

Cited by: 1

Related to: 10