一类具超临界源非线性双曲方程解的爆破时间下界估计

Abstract

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

CLC Number:

O175.27

WANG Xue, GUO Yue, ZU Ge. Lower Bound Estimate of BlowUp Time for Solutions toNonlinear Hyperbolic Equations with Supercritical Sources#br#[J].Journal of Jilin University Science Edition, 2019, 57(3): 567-570.

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Lower Bound Estimate of BlowUp Time for Solutions toNonlinear Hyperbolic Equations with Supercritical Sources#br#

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