Global attractors for the plate equation with nonlocal nonlinearity in unbounded domains

ARAT, Zehra; Khanmamedov, AZER; SIMSEK, Sema

doi:10.4310/dpde.2014.v11.n4.a4

Global attractors for the plate equation with nonlocal nonlinearity in unbounded domains

ARAT Z., Khanmamedov A., SIMSEK S.

DYNAMICS OF PARTIAL DIFFERENTIAL EQUATIONS, cilt.11, sa.4, ss.361-379, 2014 (SCI-Expanded, Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 11 Sayı: 4
Basım Tarihi: 2014
Doi Numarası: 10.4310/dpde.2014.v11.n4.a4
Dergi Adı: DYNAMICS OF PARTIAL DIFFERENTIAL EQUATIONS
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.361-379
Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
Hacettepe Üniversitesi Adresli: Evet

Özet

We consider the initial value problem for the semilinear plate equation with nonlocal nonlinearity. We prove the existence of global attractor and then establish the regularity and finite dimensionality of this attractor.