Abstract and Applied Analysis
Volume 2013 (2013), Article ID 372726, 11 pages
http://dx.doi.org/10.1155/2013/372726
Research Article

Hyperbolic Relaxation of a Fourth Order Evolution Equation

Renato Colucci and Gerardo R. Chacón

Departamento de Matemáticas, Pontificia Universidad Javeriana, Cra. 7 No. 43-82, Bogotá, Colombia

Received 26 November 2012; Revised 30 January 2013; Accepted 3 February 2013

Academic Editor: Juan J. Nieto

Copyright © 2013 Renato Colucci and Gerardo R. Chacón. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We propose a hyperbolic relaxation of a fourth order evolution equation, with an inertial term , where . We prove the existence of several absorbing sets having different regularities and the existence of a global attractor that is bounded in .