On the existence of a global attractor for the wave equation with nonlinear strong damping perturbed by nonmonotone term


Khanmamedov A.

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, cilt.69, sa.10, ss.3372-3385, 2008 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 69 Konu: 10
  • Basım Tarihi: 2008
  • Doi Numarası: 10.1016/j.na.2007.09.028
  • Dergi Adı: NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
  • Sayfa Sayıları: ss.3372-3385

Özet

The long-time behavior of the wave equation with nonmonotone interior damping is considered. It is shown that the semigroup generated by this equation possesses a global attractor in H-0(1) (Omega) x L-2 (Omega). (c) 2007 Elsevier Ltd. All rights reserved.