2022Q A Iasaýı atyndaǵy Halyqaralyq qazaq-túrіk ýnıversıtetіnіń habarlary (fızıka matematıka ınformatıka serııasy)Open access

On the solvability of some boundary value problems for the Poisson equation

B.B. Orman, B.Kh. Turmetov

Open full text 0 citations

Abstract

This work is devoted to the study of the solvability of some boundary value problems for the Poisson equation. Boundary operators are defined using fractional derivatives. The problems under consideration generalize the well-known Dirichlet and Neumann problems for the Poisson equation. The problems under study are solved by using operator methods. In the article solutions of the considered problems are determined and their uniqueness is proved.

Open-access reader

About this research paper

What this paper is about

This work is devoted to the study of the solvability of some boundary value problems for the Poisson equation. Boundary operators are defined using fractional derivatives. The problems under consideration generalize the well-known Dirichlet and Neumann problems for the Poisson equation. The problems under study are solved by using operator methods. In the article solutions of the considered problems are determined and their uniqueness is proved.

Why it matters

A significance statement is not available in the OpenAlex record.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

This work is devoted to the study of the solvability of some boundary value problems for the Poisson equation. Boundary operators are defined using fractional derivatives. The problems under consideration generalize the well-known Dirichlet and Neumann problems for the Poisson equation. The problems under study are solved by using operator methods. In the article solutions of the considered problems are determined and their uniqueness is proved.

Key concepts: Mathematics, Uniqueness theorem for Poisson's equation, Uniqueness, Poisson's equation, Boundary value problem, Discrete Poisson equation, Operator (biology), Mixed boundary condition

Related papers

Back to paper searchBrowse research topicsOriginal source
On the solvability of some boundary value problems for the Poisson equation — Research Paper | ScholarLens