A note on the global attractor for weakly damped wave equation. (March 2015)

• Record Type: Journal Article
• Authors: Liu, Cuncai; Meng, Fengjuan; Zhong, Chengkui
• Is Part Of: Applied mathematics letters. Volume 41(2015:Mar.)
• Page Start: 12
• Page End: 16
• Publication Date: 2015-03
• Subjects: Global attractor -- Wave equation -- Strichartz estimate -- Regularity lifting; Applied mathematics -- Periodicals; 519.05
• DOI: 10.1016/j.aml.2014.10.005
• Languages: English
• ISSNs: 0893-9659

Abstract

Abstract: In this short note, we consider the long-time behavior for the solution of weakly damped wave equation with lower regular forcing. The existence of a global attractor is obtained. To verify asymptotic compactness of the semigroup, we present a new method about decomposition of the solution and apply the Strichartz estimate to the wave equation according to the recent progress. Moreover, translational regularity of the attractor is established.