Journal of Inequalities and Applications
Volume 2009 (2009), Article ID 489061, 15 pages
doi:10.1155/2009/489061
Research Article

Existence of Solutions for Hyperbolic System of Second Order Outside a Domain

Jie Xin and Xiuyan Sha

School of Mathematics and Information, Ludong University, Yantai, Shandong 264025, China

Received 27 June 2008; Accepted 29 April 2009

Academic Editor: Robert Bob Gilbert

Copyright © 2009 Jie Xin and Xiuyan Sha. 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 study the mixed initial-boundary value problem for hyperbolic system of second order outside a closed domain. The existence of solutions to this problem is proved and the estimate for the regularity of solutions is given. The application of the existence theorem to elastrodynamics is discussed.