GLOBAL ATTRACTORS FOR STRONGLY DAMPED WAVE EQUATIONS WITH DISPLACEMENT DEPENDENT DAMPING AND NONLINEAR SOURCE TERM OF CRITICAL EXPONENT
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, cilt.31, sa.1, ss.119-138, 2011 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 31 Sayı: 1
- Basım Tarihi: 2011
- Doi Numarası: 10.3934/dcds.2011.31.119
- Dergi Adı: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.119-138
- Hacettepe Üniversitesi Adresli: Evet
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).