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, ss.151-172, 2016 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 21 Konu: 1
  • Basım Tarihi: 2016
  • Doi Numarası: 10.3934/dcdsb.2016.21.151
  • Dergi Adı: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B
  • Sayfa Sayıları: ss.151-172

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.