| 非线性二阶边界阻尼的粘弹性方程解的能量衰减估计 |
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| 引用本文： | 陆军,张宏伟.非线性二阶边界阻尼的粘弹性方程解的能量衰减估计[J].华东师范大学学报(自然科学版),2012,2012(5):63-68. |
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| 作者姓名： | 陆军 张宏伟 |
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| 作者单位： | 1. 郑州师范学院数学系,郑州,450044
2. 河南工业大学数学系,郑州,450001 |
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| 基金项目： | 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) |
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| 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.
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| 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 |
| 收稿时间： | 2011-11-01 |
Energy decay estimation for the nonlinear viscoelastic equation with nonlinear second-order boundary damping |
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| LU Jun
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ZHANG Hong-wei.Energy decay estimation for the nonlinear viscoelastic equation with nonlinear second-order boundary damping[J].Journal of East China Normal University(Natural Science),2012,2012(5):63-68. |
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| Authors: | LU Jun ZHANG Hong-wei |
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| Institution: | 1.Department of Mathematics,Zhengzhou Normal University,Zhengzhou 450044,China; 2.Department of Mathematics,Henan University of Technology,Zhengzhou 450001,China) |
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| Abstract: | 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. |
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| Keywords: | energy decay nonlinear viscoelastic nonlinear second-order boundary damping equation Nakao’s inequality |
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