摘要
通过构造具小耗散项的新控制泛函,利用能量估计不等式和反向H?lder不等式,对一类具超临界源项的非线性双曲方程解的L~p范数建立一阶非线性微分不等式,并通过讨论微分不等式的性质获得解爆破时间的精确下界估计.
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.
引文
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