EXISTENCE OF THE GLOBAL ATTRACTOR FOR THE PLATE EQUATION WITH NONLOCAL NONLINEARITY IN R-n

Khanmamedov, AZER; SIMSEK, Sema

doi:10.3934/dcdsb.2016.21.151

EXISTENCE OF THE GLOBAL ATTRACTOR FOR THE PLATE EQUATION WITH NONLOCAL NONLINEARITY IN R-n

Khanmamedov A., SIMSEK S.

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, cilt.21, sa.1, ss.151-172, 2016 (SCI-Expanded, Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 21 Sayı: 1
Basım Tarihi: 2016
Doi Numarası: 10.3934/dcdsb.2016.21.151
Dergi Adı: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.151-172
Hacettepe Üniversitesi Adresli: Evet

Özet

We consider Cauchy problem for the semilinear plate equation with nonlocal nonlinearity. Under mild conditions on the damping coefficient, we prove that the semigroup generated by this problem possesses a global attractor.