Strongly damped wave equation with exponential nonlinearities

Khanmamedov, AZER

doi:10.1016/j.jmaa.2014.05.010

Strongly damped wave equation with exponential nonlinearities

Atıf İçin Kopyala

Khanmamedov A.

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, cilt.419, sa.2, ss.663-687, 2014 (SCI-Expanded)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 419 Sayı: 2
Basım Tarihi: 2014
Doi Numarası: 10.1016/j.jmaa.2014.05.010
Dergi Adı: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.663-687
Hacettepe Üniversitesi Adresli: Evet

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.