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January 2016, 21(1): 151-172. doi: 10.3934/dcdsb.2016.21.151
Existence of the global attractor for the plate equation with nonlocal nonlinearity in $ \mathbb{R} ^{n}$
Azer Khanmamedov 1, and Sema Simsek 1,
Department of Mathematics, Faculty of Science, Hacettepe University, Beytepe 06800, Ankara, Turkey
Received March 2015 Revised August 2015 Published November 2015
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.
Keywords: global attractor., Plate equation.
Mathematics Subject Classification: 35B41, 35G20, 74K2.
Citation: Azer Khanmamedov, Sema Simsek. Existence of the global attractor for the plate equation with nonlocal nonlinearity in $ \mathbb{R} ^{n}$. Discrete & Continuous Dynamical Systems - B, 2016, 21 (1) : 151-172. doi: 10.3934/dcdsb.2016.21.151
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Azer Khanmamedov Sema Simsek