BOUNDARY VALUE PROBLEM FOR ONE EVOLUTION EQUATION
Küçük Resim Yok
Tarih
2017
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Indian Nat Sci Acad
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
The aim of the paper is to investigate the boundary value problem of the evolution equation Lu - K (x,t)(ut) - Delta u + a(x,t) u - f(x,t). The characteristic property of this type of equations is the failure of the Petrovski's A condition when coefficients are constant [1]. In this case, Cauchy problem is incorrect in the sense of Hadamard. Hence in this paper, the space, guaranteeing the correctness of the boundary value problem in the sense of Hadamard, is selected by adding some additional conditions to the coefficients of the equation.
Açıklama
Anahtar Kelimeler
Evolution equations, boundary value problem, parabolic equations changing with direction of time, Sobolev type differential equations
Kaynak
Indian Journal of Pure & Applied Mathematics
WoS Q Değeri
Q4
Scopus Q Değeri
Q3
Cilt
48
Sayı
3
