On strong solvability of one nonlocal boundary value problem for Laplace equation in rectangle

Authors

TELMAN GASYMOVFollow
BAHARCHIN AKHMADLIFollow
ÜMİT ILDIZFollow

DOI

10.55730/1300-0098.3489

Abstract

One nonlocal boundary value problem for the Laplace equation in a bounded domain is considered in this work. The concept of a strong solution to this problem is introduced. The correct solvability of this problem in the Sobolev spaces generated by the weighted mixed norm is proved by the Fourier method. In a classic statement, this problem has been

Keywords

Laplace equation, nonlocal problem, weighted Sobolev space, strong solution

First Page

21

Last Page

33

Recommended Citation

GASYMOV, TELMAN; AKHMADLI, BAHARCHIN; and ILDIZ, ÜMİT (2024) "On strong solvability of one nonlocal boundary value problem for Laplace equation in rectangle," Turkish Journal of Mathematics: Vol. 48: No. 1, Article 4. https://doi.org/10.55730/1300-0098.3489
Available at: https://journals.tubitak.gov.tr/math/vol48/iss1/4