Global attractors for the plate equation with a localized damping and a critical exponent in an unbounded domain

A.Kh Khanmamedov

doi:10.1016/j.jde.2005.12.001

Global attractors for the plate equation with a localized damping and a critical exponent in an unbounded domain

A.Kh Khanmamedov

Open Access

https://doi.org/10.1016/j.jde.2005.12.001

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Journal: Journal of Differential Equations	Publication Date: Jan 18, 2006
Citations: 71	License type: elsevier-specific: oa user license

Affiliation: Hacettepe University

#Localized Damping #Critical Exponent + Show 8 more

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Abstract

In this paper, we study the asymptotic behavior of solutions for the plate equation with a localized damping and a critical exponent. We prove the existence, regularity and finite dimensionality of a global attractor in W 2 2 ( R n ) × L 2 ( R n ) .

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