摘要
讨论了具有非线性二阶边界阻尼的粘弹性方程混合问题.利用Nakao不等式在阻尼项为一般情况时得到了能量的指数衰减估计;在阻尼项为多项式时得到了能量的代数衰减估计.
The exponential decay estimation of the energy for the nonlinear viscoelastic equation with general damped term was obtained by using Nakao＇s inequality, and the algebra decay estimation of the energy for the equation with polynomial damped term was given by the same inequality.
出处
《华东师范大学学报（自然科学版）》
CAS
CSCD
北大核心
2012年第5期62-68,共7页
Journal of East China Normal University(Natural Science)
基金
国家自然科学基金(11171311)
河南省基础与前沿项目(102300410118)
河南工业大学科研基金重点项目(09XZD009)
关键词
能量衰减
粘弹性方程
非线性二阶边界阻尼
Nakao不等式
energy decay
nonlinear viscoelastic
nonlinear second-order boundarydamping equation
Nakao＇s inequality
