Proceedings of the Royal Society of Edinburgh: Section A Mathematics

Research Article

Existence and uniqueness of discontinuous solutions for a hyperbolic system

Feimin Huanga1

a1 Institute of Mathematics, Shantou University, Shantou 515063, P.R. China Institute of Applied Mathematics, Academia Sinica, Beijing 100080, P.R. China

In this paper, we prove the global existence and uniqueness of solutions to the Cauchy problem of a hyperbolic system, which probably contains so-called δ-waves.

(Received July 24 1995)

(Revised September 25 1996)