### Abstract

We derive a precise decay estimate of the energy of the solutions to the initial boundary value problem for the wave equation with a nonlinear dissipation p(u_{t}), where p(v) is a function like. Since our dissipation is weak as |u_{t}| tends to 1 we treat strong solutions rather than usual energy finite solutions.

Original language | English |
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Pages (from-to) | 681-688 |

Number of pages | 8 |

Journal | Differential and Integral Equations |

Volume | 8 |

Issue number | 3 |

Publication status | Published - 1995 |

Externally published | Yes |

### ASJC Scopus subject areas

- Analysis
- Applied Mathematics

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## Cite this

Nakao, M., & Giga, Y. (1995). Energy decay for the wave equation with a nonlinear weak dissipation.

*Differential and Integral Equations*,*8*(3), 681-688.