### Abstract

We consider an initial-boundary value problem for the degenerate linear hyperbolic equation as a model of the motion of an inextensible string fixed at one end in the gravity field. We shall show the existence and the uniqueness of the solution and study the regularity of the solution.

Original language | English |
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Pages (from-to) | 547-565 |

Number of pages | 19 |

Journal | Osaka Journal of Mathematics |

Volume | 55 |

Issue number | 3 |

Publication status | Published - 2018 Jul 1 |

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### ASJC Scopus subject areas

- Mathematics(all)

### Cite this

**Initial-boundary value problem for the degenerate hyperbolic equation of a hanging string.** / Takayama, Masahiro.

Research output: Contribution to journal › Article

*Osaka Journal of Mathematics*, vol. 55, no. 3, pp. 547-565.

}

TY - JOUR

T1 - Initial-boundary value problem for the degenerate hyperbolic equation of a hanging string

AU - Takayama, Masahiro

PY - 2018/7/1

Y1 - 2018/7/1

N2 - We consider an initial-boundary value problem for the degenerate linear hyperbolic equation as a model of the motion of an inextensible string fixed at one end in the gravity field. We shall show the existence and the uniqueness of the solution and study the regularity of the solution.

AB - We consider an initial-boundary value problem for the degenerate linear hyperbolic equation as a model of the motion of an inextensible string fixed at one end in the gravity field. We shall show the existence and the uniqueness of the solution and study the regularity of the solution.

UR - http://www.scopus.com/inward/record.url?scp=85049685262&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85049685262&partnerID=8YFLogxK

M3 - Article

VL - 55

SP - 547

EP - 565

JO - Osaka Journal of Mathematics

JF - Osaka Journal of Mathematics

SN - 0030-6126

IS - 3

ER -