Electronic Journal of Differential Equations,
Vol. 2009(2009), No. 151, pp. 1-18.

Title: Lp-Regularity of solutions to first initial-boundary value
       problem for hyperbolic equations in cusp domains

Authors: Nguyen Manh Hung (Hanoi National Univ., Vietnam)
         Vu Trong Luong (Taybac Univ., Sonla City, Vietnam)

Abstract:
 In this article, we establish  well-posedness and
 Lp-regularity of solutions to the first initial-boundary
 value problem for general higher order hyperbolic equations
 in cylinders whose base is a cusp domain. 

Submitted July 24, 2009. Published November 25, 2009.
Math Subject Classifications: 35D05, 35D10, 35L30, 35L35, 35G15.
Key Words: Hyperbolic equations; first initial-boundary value problem;
           Lp-regularity; cusp domain.