### Abstract

In this paper we establish blow-up results and lifespan estimates for semilinear wave equations with scattering damping and negative mass term for subcritical power, which are the same as that of the corresponding problem without mass term, and also the same as that of the corresponding problem without both damping and mass term. For this purpose, we have to use the comparison argument twice, due to the damping and mass term, in additional to a key multiplier. Finally, we get the desired results by an iteration argument.

Original language | English |
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Title of host publication | Trends in Mathematics |

Publisher | Springer International Publishing |

Pages | 217-240 |

Number of pages | 24 |

DOIs | |

Publication status | Published - 2019 Jan 1 |

### Publication series

Name | Trends in Mathematics |
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ISSN (Print) | 2297-0215 |

ISSN (Electronic) | 2297-024X |

### ASJC Scopus subject areas

- Mathematics(all)

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## Cite this

Lai, N. A., Schiavone, N. M., & Takamura, H. (2019). Wave-Like Blow-Up for Semilinear Wave Equations with Scattering Damping and Negative Mass Term. In

*Trends in Mathematics*(pp. 217-240). (Trends in Mathematics). Springer International Publishing. https://doi.org/10.1007/978-3-030-10937-0_8