EXISTENCE OF THE GLOBAL ATTRACTOR FOR THE PLATE EQUATION WITH NONLOCAL NONLINEARITY IN R-n

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Khanmamedov A., SIMSEK S.

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, vol.21, no.1, pp.151-172, 2016 (SCI-Expanded)

• Publication Type: Article / Article
• Volume: 21 Issue: 1
• Publication Date: 2016
• Doi Number: 10.3934/dcdsb.2016.21.151
• Journal Name: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B
• Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Page Numbers: pp.151-172
• Hacettepe University Affiliated: Yes

Abstract

We consider Cauchy problem for the semilinear plate equation with nonlocal nonlinearity. Under mild conditions on the damping coefficient, we prove that the semigroup generated by this problem possesses a global attractor.