关键词: 双曲型方程, 能量估计, 下界估计, 爆破时间

Abstract: By constructing a new control function with  small dissipative term, using energy estimate inequalities and inverse Hlder inequality, the first order nonlinear differential inequality was established about the L^p norm of the solutions of a class of nonlinear hyperbolic equations with supercritical source terms, and  the accurate lower bound estimate of blow\|up time for the solutions  was obtained by discussing the properties of differential inequalities.

Key words: hyperbolic equation, energy estimate, lower bound estimate, blow-up time