Existence of the global attractorfor the plate equation with nonlocal nonlinearity in $\mathbb{R}^{n}$

Azer Khanmamedov; Sema  Simsek

doi:10.3934/dcdsb.2016.21.151

Article Contents

2016, Volume 21, Issue 1: 151-172. Doi: 10.3934/dcdsb.2016.21.151

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Existence of the global attractor for the plate equation with nonlocal nonlinearity in $ \mathbb{R} ^{n}$

Azer Khanmamedov^1, and
Sema Simsek^1,

1.
Department of Mathematics, Faculty of Science, Hacettepe University, Beytepe 06800, Ankara

Received: February 28, 2015

Revised: July 31, 2015

Published: December 2015

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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.

Keywords:

Plate equation,
global attractor.

Mathematics Subject Classification: 35B41, 35G20, 74K20.

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References

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