Global attractors for wave equations with nonlinear interior damping and critical exponents

Khanmamedov A.

JOURNAL OF DIFFERENTIAL EQUATIONS, cilt.230, sa.2, ss.702-719, 2006 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 230 Sayı: 2
  • Basım Tarihi: 2006
  • Doi Numarası: 10.1016/j.jde.2006.06.001
  • Dergi Adı: JOURNAL OF DIFFERENTIAL EQUATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.702-719
  • Hacettepe Üniversitesi Adresli: Evet

Özet

In this paper we study the global attractors for wave equations with nonlinear interior damping. We prove the existence, regularity and finite dimensionality of the global attractors without assuming a large value for the damping parameter, when the growth of the nonlinear terms is critical. (c) 2006 Elsevier Inc. All rights reserved.