On the Strong Solvability of a Nonlocal Boundary Value Problem for the Laplace Equation in an Unbounded Domain
Journal of Contemporary Applied Mathematics, cilt.15, sa.1, ss.92-106, 2025 (Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 15 Sayı: 1
- Basım Tarihi: 2025
- Doi Numarası: 10.62476/jcam.151.7
- Dergi Adı: Journal of Contemporary Applied Mathematics
- Derginin Tarandığı İndeksler: Scopus
- Sayfa Sayıları: ss.92-106
- Anahtar Kelimeler: nonlocal problem, space, strong solution Laplace equation, weighted Sobolev
- Yıldız Teknik Üniversitesi Adresli: Hayır
Özet
In this work a nonlocal problem for the Laplace equation in an unbounded domain is considered. The notion of a strong solution of this problem is defined. Using the Fourier method, we prove the correct solvability of the considered problem in Sobolev spaces generated by a weighted mixed-norm. This problem in the classical formulation was previously considered by E. I. Moiseev [1]. The same type of problem was considered in the work of M. E. Lerner and O. A. Repin [2].