GLOBAL ATTRACTORS FOR STRONGLY DAMPED WAVE EQUATIONS WITH DISPLACEMENT DEPENDENT DAMPING AND NONLINEAR SOURCE TERM OF CRITICAL EXPONENT


Khanmamedov A.

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, cilt.31, sa.1, ss.119-138, 2011 (SCI İndekslerine Giren Dergi) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 31 Konu: 1
  • Basım Tarihi: 2011
  • Doi Numarası: 10.3934/dcds.2011.31.119
  • Dergi Adı: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS
  • Sayfa Sayıları: ss.119-138

Özet

In this paper the long time behaviour of the solutions of the 3-D strongly damped wave equation is studied. It is shown that the semigroup generated by this equation possesses a global attractor in H(0)(1)(Omega) X L(2) (Q) and then it is proved that this is also a global attractor in (H(2)(Omega)boolean AND H(0)(1)(Omega)) x H(0)(1)(Omega).