Boundary Value Problems
Volume 2009 (2009), Article ID 135730, 14 pages
Research Article

Regularity of the Solution of the First Initial-Boundary Value Problem for Hyperbolic Equations in Domains with Cuspidal Points on Boundary

1Department of Mathematics, Hanoi National University of Education, Hanoi 4384, Vietnam
2Department of Mathematics, Taybac University, Sonla city, Sonla 22384, Vietnam

Received 3 July 2009; Accepted 8 December 2009

Academic Editor: Martin Schechter

Copyright © 2009 Nguyen Manh Hung and Vu Trong Luong. 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.


The goal of this paper is to establish the regularity of the solution of the first initial-boundary value problem for general higher-order hyperbolic equations in cylinders with the bases containing cuspidal points.