A remark on elliptic differential equations on manifold
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Dosyalar
Tarih
2020
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Karaganda State Univ
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
For elliptic boundary value problems of nonlocal type in Euclidean space, the well posedness has been studied by several authors and it has been well understood. On the other hand, such kind of problems on manifolds have not been studied yet. Present article considers differential equations on smooth closed manifolds. It establishes the well posedness of nonlocal boundary value problems of elliptic type, namely Neumann-Bitsadze-Samarskii type nonlocal boundary value problem on manifolds and also Dirichlet-Bitsadze-Samarskii type nonlocal boundary value problem on manifolds, in Holder spaces. In addition, in various Holder norms, it establishes new coercivity inequalities for solutions of such elliptic nonlocal type boundary value problems on smooth manifolds.
Açıklama
5th International Conference on Analysis and Applied Mathematics (ICAAM) -- SEP 23-30, 2020 -- Mersin, TURKEY
Anahtar Kelimeler
differential equations on manifolds, well-posedness, self-adjoint positive definite operator, Boundary-Value-Problems, Well-Posedness
Kaynak
Bulletin Of The Karaganda University-Mathematics
WoS Q DeÄŸeri
N/A
Scopus Q DeÄŸeri
Cilt
99
Sayı
3
