Polynomial decay and blow up of solutions for variable coefficients viscoelastic wave equation with acoustic boundary conditions

被引：0
|
作者：
Yamna Boukhatem
Benyattou Benabderrahmane
机构：
[1] University of Laghouat,Laboratory of Computer Sciences and Mathematics, Faculty of Sciences
[2] University of M’Sila,Faculty of Mathematics and Computer Sciences
来源：
Acta Mathematica Sinica, English Series | 2016年 / 32卷
关键词：
Acoustic boundary conditions; blow up; polynomial decay; variable coefficients; viscoelastic wave equation; 35L45; 35L70; 35B40;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
A variable coefficient viscoelastic wave equation with acoustic boundary conditions and nonlinear source term is considered. Under suitable conditions on the initial data and the relaxation function g, we show the polynomial decay of the energy solution and the blow up of solutions by energy methods. The estimates for the lifespan of solutions are also given.
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页码：153 / 174
页数：21
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