### 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 |

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### All Science Journal Classification (ASJC) codes

- Mathematics(all)
- Engineering(all)

### Cite this

*Mathematical Methods in the Applied Sciences*,

*11*(1), 65-70. https://doi.org/10.1002/mma.1670110104

}

*Mathematical Methods in the Applied Sciences*, vol. 11, no. 1, pp. 65-70. https://doi.org/10.1002/mma.1670110104

**Almost global existence of solutions of quasi‐linear hyperbolic equations.** / Milani, Albert J.; Brosowski, B.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Almost global existence of solutions of quasi‐linear hyperbolic equations

AU - Milani, Albert J.

AU - Brosowski, B.

PY - 1989/1/1

Y1 - 1989/1/1

N2 - 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].

AB - 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].

UR - http://www.scopus.com/inward/record.url?scp=84988159328&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84988159328&partnerID=8YFLogxK

U2 - 10.1002/mma.1670110104

DO - 10.1002/mma.1670110104

M3 - Article

VL - 11

SP - 65

EP - 70

JO - Mathematical Methods in the Applied Sciences

JF - Mathematical Methods in the Applied Sciences

SN - 0170-4214

IS - 1

ER -