Electronic Journal of Differential Equations,
Vol. 2008(2008), No. 138, pp. 1-10.

Title: Unique solvability of initial boundary-value problems for
       hyperbolic systems in cylinders whose base is a cusp domain
  
Authors: Nguyen Manh Hung (Hanoi National Univ., Vietnam)
         Vu Trong Luong   (Taybac Univ., Sonla, Vietnam)

Abstract:
 We study initial boundary-value problems for  hyperbolic systems
 of divergence form of arbitrary order in cylinders whose base
 is a cusp  domain. Our main results are to prove the  existence,
 uniqueness and the smoothness with respect to time variable of
 generalized solutions of these problems by using the method which
 we will denote as "approximating boundary method".
 
Submitted May 8, 2008. Published October 14, 2008.
Math Subject Classifications: 35D05, 35D10, 35L55, 35M10.
Key Words: Initial boundary-value problems; hyperbolic systems;
           Cusp domain; approximating boundary method; 
	   generalized solution; existence; uniqueness; smoothness.