Decay Rate of Quasilinear Wave Equation with Viscosity

This paper is concerned with the decay rate of solutions for a quasilinear wave equation with viscosity. We use a so-called energy perturbation method to establish decay rate of solutions in terms of energy norm for a class of nonlinear functions. With the help of a comparison lemma of differential...

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Veröffentlicht in:	Acta Mathematicae Applicatae Sinica 2012-07, Vol.28 (3), p.591-596
Hauptverfasser:	Qin, Yu-ming, Liu, Xin, Deng, Shu-xian
Format:	Artikel
Sprache:	eng
Schlagworte:	Applications of Mathematics Math Applications in Computer Science Mathematical and Computational Physics Mathematics Mathematics and Statistics Theoretical 微分不等式拟线性波动方程拟线性波方程粘性能量摄动法衰减率衰变率非线性函数
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Beschreibung
Zusammenfassung:	This paper is concerned with the decay rate of solutions for a quasilinear wave equation with viscosity. We use a so-called energy perturbation method to establish decay rate of solutions in terms of energy norm for a class of nonlinear functions. With the help of a comparison lemma of differential inequalities, we establish a relationship between decay rate of solutions and f.
ISSN:	0168-9673 1618-3932
DOI:	10.1007/s10255-012-0172-4