Existence of Solutions for Hyperbolic System of Second Order Outside a Domain
نویسندگان
چکیده
Jie Xin and Xiuyan Sha School of Mathematics and Information, Ludong University, Yantai, Shandong 264025, China Correspondence should be addressed to Jie Xin, [email protected] Received 27 June 2008; Accepted 29 April 2009 Recommended by Robert Bob Gilbert 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. Copyright q 2009 J. Xin and X. 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.
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