### Abstract

We consider the quasi‐linear hyperbolic initial value problem (1) of the Introduction, and prove that for any T>0 there is a bound such that if the norm of the initial data is smaller than that bound then the solution of (1) exists on all of [0, T].

Original language | English |
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Pages (from-to) | 65-70 |

Number of pages | 6 |

Journal | Mathematical Methods in the Applied Sciences |

Volume | 11 |

Issue number | 1 |

DOIs | |

Publication status | Published - Jan 1 1989 |

### All Science Journal Classification (ASJC) codes

- Mathematics(all)
- Engineering(all)

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## Cite this

Milani, A. J., & Brosowski, B. (1989). Almost global existence of solutions of quasi‐linear hyperbolic equations.

*Mathematical Methods in the Applied Sciences*,*11*(1), 65-70. https://doi.org/10.1002/mma.1670110104