This paper shows the existence of time-global continuous characteristic solutions of the Cauchy problem for a class of 2 × 2 weakly hyperbolic systems of conservation laws in one space dimension with possibly unbounded initial propagation speed, and gives a condition on the growth of the initial propagation speed necessary and sufficient for the uniqueness of continuous solutions.
|ジャーナル||Advances in Differential Equations|
|出版物ステータス||Published - 1996 12 1|
ASJC Scopus subject areas
- Applied Mathematics