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Attractors for damped quintic wave equations in bounded domains

Kalantarov, V, Savostianov, A and Zelik, S (2013) Attractors for damped quintic wave equations in bounded domains

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Abstract

The dissipative wave equation with a critical quintic nonlinearity in smooth bounded three dimensional domain is considered. Based on the recent extension of the Strichartz estimates to the case of bounded domains, the existence of a compact global attractor for the solution semigroup of this equation is established. Moreover, the smoothness of the obtained attractor is also shown.

Item Type: Article
Divisions : Faculty of Engineering and Physical Sciences > Mathematics
Authors :
AuthorsEmailORCID
Kalantarov, VUNSPECIFIEDUNSPECIFIED
Savostianov, AUNSPECIFIEDUNSPECIFIED
Zelik, SUNSPECIFIEDUNSPECIFIED
Date : 24 September 2013
Related URLs :
Additional Information : This is an arXiv publication.
Depositing User : Symplectic Elements
Date Deposited : 17 Dec 2014 16:02
Last Modified : 08 Jan 2015 02:33
URI: http://epubs.surrey.ac.uk/id/eprint/806834

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