具强阻尼项的四阶弱耦合双曲方程组解爆破时间的下界估计

Abstract

Abstract: We considered the lower bound for the lifespan of the solutions to a class of fourthorder nonlinear coupled hyperbolic systems.
By constructing the appropriate control function, using the energy estimate method and Sobolev embedding theorem, we gave the firstorder differential inequality satisfied by the control function, and gave the estimate of the lower bound for the lifespan of the solution of the problem by analyzing the properties of differential inequalities.

Key words: , hyperbolic equation, energy estimate method, estimate of lower bound

CLC Number:

O175.27

CHEN Jieshu, JIN Xin. Estimate of Lower Bound for Blowup Time of Solutions to FourthOrder Weakly Coupled Hyperbolic Systems with Strong Damping Terms#br#[J].Journal of Jilin University Science Edition, 2020, 58(4): 864-867.

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Estimate of Lower Bound for Blowup Time of Solutions to FourthOrder Weakly Coupled Hyperbolic Systems with Strong Damping Terms#br#

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