Global attractors for the plate equation with a localized damping and a critical exponent in an unbounded domain

Khanmamedov A.

JOURNAL OF DIFFERENTIAL EQUATIONS, cilt.225, sa.2, ss.528-548, 2006 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 225 Sayı: 2
  • Basım Tarihi: 2006
  • Doi Numarası: 10.1016/j.jde.2005.12.001
  • Dergi Adı: JOURNAL OF DIFFERENTIAL EQUATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.528-548
  • Hacettepe Üniversitesi Adresli: Evet

Özet

In this paper, we study the asymptotic behavior of solutions for the plate equation with a localized damping and a critical exponent. We prove the existence, regularity and finite dimensionality of a global attractor in W-2(2)(R-n) x L-2(R-n). (c) 2005 Elsevier Inc. All rights reserved.