Turkish Journal of Mathematics
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
DOI
10.55730/1300-0098.3489
Keywords
Laplace equation, nonlocal problem, weighted Sobolev space, strong solution
First Page
21
Last Page
33
Recommended Citation
GASYMOV, T, AKHMADLI, B, & ILDIZ, Ü (2024). On strong solvability of one nonlocal boundary value problem for Laplace equation in rectangle. Turkish Journal of Mathematics 48 (1): 21-33. https://doi.org/10.55730/1300-0098.3489
