| 带黏性项的强阻尼波动方程解的指数衰减性 |
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| 引用本文： | 李敏,林国广.带黏性项的强阻尼波动方程解的指数衰减性[J].中国科技信息,2011(10):47-49. |
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| 作者姓名： | 李敏 林国广 |
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| 作者单位： | 云南大学数学统计学院,云南,昆明,650091 |
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| 基金项目： | 国家自然科学基金资助项目 |
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| 摘 要： | 讨论的是一类带有黏性项的强阻尼波动方程,Uu-△u-α△u1＋∫01g（t-τ）△u（τ）dτ＋ε︱u1︱p-1u1-︱u︱m-1u。对于ε≠1,α≠0的情况证明方程解的存在性和指数衰减性。
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| 关 键 词： | 黏性 强阻尼 能量估计 指数衰减 |
Exponential decay of solution of viscoelastic with strong damping wave equation |
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| LI Min,LIN Guoguang.Exponential decay of solution of viscoelastic with strong damping wave equation[J].CHINA SCIENCE AND TECHNOLOGY INFORMATION,2011(10):47-49. |
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| Authors: | LI Min LIN Guoguang |
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| Institution: | LI Min,LIN Guoguang School of Mathematics and Statistics,Yunnan University,Kunming 650091,China |
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| Abstract: | It is discussed that a class of strongly damped with a viscous wave equation,Uu-△u-α△u1＋∫01g（t-τ）△u（τ）dτ＋ε︱u1︱p-1u1-︱u︱m-1u,forε≠1,α≠0situation it is proved that the existence and the exponential decay of solution. |
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| Keywords: | viscoelastic strongdamping energyestimation exponentialdecay |
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