A note on the lifespan of solutions to the semilinear damped wave equation

A note on the lifespan of solutions to the semilinear damped wave equation
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DOI:
10.1090/s0002-9939-2014-12201-5
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发表时间:
2012-12
期刊:
arXiv: Analysis of PDEs
影响因子:
--
通讯作者:
M. Ikeda;Yuta Wakasugi
M. Ikeda;Yuta Wakasugi
中科院分区:
其他
文献类型:
--
作者:
M. Ikeda;Yuta Wakasugi

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本文讨论半线性阻尼波方程解的寿命估计。本文给出了变系数半线性阻尼波动方程在所有空间维中生存期的上界估计。
This paper concerns estimates of the lifespan of solutions to the semilinear damped wave equation. We give upper estimates of the lifespan for the semilinear damped wave equation with variable coefficients in all space dimensions.