### Abstract

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.

Original language | English |
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Pages (from-to) | 817-856 |

Number of pages | 40 |

Journal | Advances in Differential Equations |

Volume | 1 |

Issue number | 5 |

Publication status | Published - 1996 Dec 1 |

### ASJC Scopus subject areas

- Analysis
- Applied Mathematics

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## Cite this

Yamazaki, M., & Yamazaki, T. (1996). The cauchy problem for a class of 2 × 2 hyperbolic systems of conservation laws with unbounded propagation speed.

*Advances in Differential Equations*,*1*(5), 817-856.