Asymptotic of solutions for second IBVP for hyperbolic systems in non-smooth domains

Abstract

The purpose of this paper is to study the asymptotic behaviour of solutions of the second initial boundary value problem for hyperbolic systems in an infinite cylinder with the base containing conical points. Some new results on the asymptotics of solutions of elliptic problem depending on a parameter are also given.

Keywords:

• hyperbolic system
• generalized solution
• existence
• uniqueness
• regularity
• asymptotic

AMS Subject Classifications:

• 35D05
• 35D10
• 35G99

Acknowledgments

This research is funded by Vietnam National Foundation for science and Technology development (NAFOSTED) under grant number 101.01-2011.30