The authors studied the properties of solutions for the initial boundary value problem to a hyperbolic equation and obtained a lower bound estimation of blow-up time for a class of nonlinear damped hyperbolic equations with sources by using the method of energy estimate and Sobolev embedding inequalities.%考虑双曲方程初边值问题解的性质。利用能量估计方法和 Sobolev 嵌入不等式,给出一个具非线性阻尼项和源函数项双曲方程解爆破时间的下界估计。
展开▼