Strongly damped wave equation with exponential nonlinearities


Khanmamedov A.

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, cilt.419, ss.663-687, 2014 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 419 Konu: 2
  • Basım Tarihi: 2014
  • Doi Numarası: 10.1016/j.jmaa.2014.05.010
  • Dergi Adı: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
  • Sayfa Sayıları: ss.663-687

Özet

In this paper, we study the initial boundary value problem for two-dimensional strongly damped wave equation with exponentially growing source and damping terms. We first show the well-posedness of this problem and then prove the existence of the global attractor in (H-0(1)(Omega) boolean AND L-infinity(Omega)) x L-2(Omega). (C) 2014 Elsevier Inc. All rights reserved.