On the third boundary value problem for parabolic equations in a non-regular domain of R? +1
Yükleniyor...
Dosyalar
Tarih
2016
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Işık University Press
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this paper, we look for sufficient conditions on the lateral surface of the domain and on the coefficients of the boundary conditions of a N?space dimensional linear parabolic equation, in order to obtain existence, uniqueness and maximal regularity of the solution in a Hilbertian anisotropic Sobolev space when the right hand side of the equation is in a Lebesgue space. This work is an extension of solvability results obtained for a second order parabolic equation, set in a non-regular domain of R 3 obtained in [1], to the case where the domain is cylindrical, not with respect to the time variable, but with respect to N space variables, N > 1.
Açıklama
Anahtar Kelimeler
Anisotropic Sobolev spaces, Mathematics, Non-regular domains, Parabolic equations, Robin conditions, Matematik
Kaynak
TWMS Journal of Applied and Engineering Mathematics
WoS Q Değeri
Scopus Q Değeri
Cilt
6
Sayı
1
Künye
Kheloufi, A. (2016). On the third boundary value problem for parabolic equations in a non-regular domain OFRN +1. TWMS (Turkic World Mathematical Society) Journal of Applied and Engineering Mathematics, 6(1), 1-14.
