This paper deals with an initial boundary value problem for a class of nonlinear wave equation with nonlinear damping and source terms whose solution may blow up in finite time. An explicit lower bound for blow up time is determined by means of a differential inequality argument if blow up occurs.

中文翻译：

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一类具有非线性阻尼和源项的非线性波动方程的爆破时间的显式下界

本文研究了一类具有非线性阻尼和源项的非线性波动方程的初始边值问题，其解在有限时间内可能爆炸。如果发生爆炸，则通过微分不等式论证确定爆炸时间的明确下限。