Work

On Solvability Of One Boundary Value Problem For Laplace Equation in Banach-Hardy Classes

Year: 2025

Type: article

Abstract: In this paper we consider the Dirichlet problem for the Laplace equation in Hardy classes generated by an additive-invariant Banach function space on the unit circle.It is shown that the classical Dirichlet problem for the Laplace equation has a unique solution for every boundary function from the considered space.It is considered a boundary problem for the Laplace equation with oblique derivatives in the Hardy classes generated by separable subspaces of rearrangement-invariant spaces in which the infinitely differentiable functions are dense.Noetherness of this problem is established and the index of this problem is calculated.

Source: Journal of contemporary applied mathematics.

DOI: 10.62476/jcam.151.3

Author: E. Mamedov

Institutions: Institute of Mathematics and Mechanics, Ministry of Science and Education Republic of Azerbaijan

Language: English

Topic: Differential Equations and Boundary Problems

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

OpenAlex ID: W4407149160

FWCI: 1.924

Cites:

Cited by: 1

Related to: 10