On bitsadze-samarskii type elliptic differential problems on hyperbolic plane
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Dosyalar
Tarih
2021
Yazarlar
Dergi Başlığı
Dergi ISSN
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Yayıncı
Academic Publications Ltd.
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In the present article, we consider nonlocal boundary value problems (NBVP) of elliptic type on relatively compact domains in the hyperbolic plane. We establish the wellposedness of Neumann-Bitsadze-Samarskii type and also Dirichlet-Bitsadze-Samarskii type on such domains. Furthermore, we establish new coercivity inequalities for solutions of such elliptic NBVP on relatively compact domains in the hyperbolic plane with various H¨older norms. © 2021
Açıklama
Anahtar Kelimeler
differential equations on manifolds, hyperbolic plane, self-adjoint positive definite operator, well-posedness
Kaynak
International Journal of Applied Mathematics
WoS Q Değeri
Scopus Q Değeri
Q3
Cilt
34
Sayı
2