On solvability of the first initial-boundary value problem for quasilinear pseudoparabolic equations
Küçük Resim Yok
Tarih
2014
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Elsevier Science Inc
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In the paper, the solvability of the first initial-boundary value problem for a quasilinear pseudoparabolic equation u(t) - Delta u(t) - partial derivative/partial derivative x(i) (b(ij)(x, t, u)u(xj)) + c(i)(x, t, u)u(xi) + v(x, t, u) = f(x, t) with increasing with respect to zeta functions b(ij)(x, t, zeta), c(i)(x, t, zeta) and v(x, t, zeta) was investigated. The existence and uniqueness of regular solutions are proven. (C) 2014 Elsevier Inc. All rights reserved.
Açıklama
Anahtar Kelimeler
Quasilinear pseudoparabolic equations, Non-linear equations, Equations of Sobolev type, Composite type equations, Boundary value problem
Kaynak
Applied Mathematics and Computation
WoS Q Değeri
Q1
Scopus Q Değeri
Q1
Cilt
246