### 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 |
---|---|

Pages (from-to) | 817-856 |

Number of pages | 40 |

Journal | Advances in Differential Equations |

Volume | 1 |

Issue number | 5 |

Publication status | Published - 1996 |

Externally published | Yes |

### Fingerprint

### ASJC Scopus subject areas

- Analysis
- Applied Mathematics

### Cite this

*Advances in Differential Equations*,

*1*(5), 817-856.

**The cauchy problem for a class of 2 × 2 hyperbolic systems of conservation laws with unbounded propagation speed.** / Yamazaki, Masao; Yamazaki, Taeko.

Research output: Contribution to journal › Article

*Advances in Differential Equations*, vol. 1, no. 5, pp. 817-856.

}

TY - JOUR

T1 - The cauchy problem for a class of 2 × 2 hyperbolic systems of conservation laws with unbounded propagation speed

AU - Yamazaki, Masao

AU - Yamazaki, Taeko

PY - 1996

Y1 - 1996

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=84894551809&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84894551809&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:84894551809

VL - 1

SP - 817

EP - 856

JO - Advances in Differential Equations

JF - Advances in Differential Equations

SN - 1079-9389

IS - 5

ER -