Existence, uniqueness and behaviour of solutions for a nonlinear diffusion equation with third type boundary value condition

DÜZGÜN, FATMA; Soltanov, KAMAL

doi:10.4171/rlm/715

Existence, uniqueness and behaviour of solutions for a nonlinear diffusion equation with third type boundary value condition

DÜZGÜN F. G., Soltanov K.

RENDICONTI LINCEI-MATEMATICA E APPLICAZIONI, cilt.26, sa.4, ss.445-463, 2015 (SCI-Expanded, Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 26 Sayı: 4
Basım Tarihi: 2015
Doi Numarası: 10.4171/rlm/715
Dergi Adı: RENDICONTI LINCEI-MATEMATICA E APPLICAZIONI
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.445-463
Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
Hacettepe Üniversitesi Adresli: Evet

Özet

In this work, we investigate a mixed problem with boundary condition of third type for a nonlinear diffusion equation having nonlocal term. Existence and uniqueness of a solution of the posed problem are proved under fairly general conditions. Moreover, we obtain some results on the behaviour of the solution and the existence of an absorbing set for the problem under consideration.