| 一类具强耗散项半线性波动方程解的能量衰减估计 |
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| 引用本文： | 李怡,余秋玲,张蓓.一类具强耗散项半线性波动方程解的能量衰减估计[J].佳木斯大学学报,2009,27(1). |
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| 作者姓名： | 李怡 余秋玲 张蓓 |
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| 作者单位： | 西南交通大学数学学院,四川成都,610031
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| 摘 要： | 采用整体迭代法及压缩映像原理,证明一类具强耗散项的半线性波动方程Cauchy问题整体解的能量衰减估计.
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| 关 键 词： | 波动方程 能量估计 压缩映像 |
The Decay of Energy for semi-linear Damping Wave Equation with Strongly Dissipative Terms |
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| LI Yi,YU Qiu-ling,ZHANG Bei.The Decay of Energy for semi-linear Damping Wave Equation with Strongly Dissipative Terms[J].Journal of Jiamusi University(Natural Science Edition),2009,27(1). |
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| Authors: | LI Yi YU Qiu-ling ZHANG Bei |
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| Institution: | Department of Mathematics;Southwest Jiaotong University;Chengdu 610031;China |
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| Abstract: | By the global iterative technique and contraction mapping principle,the authors prove the decay of energy of the initial problem for a class of semi-linear wave equations with strongly dissipative terms. |
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| Keywords: | wave equation energy estimates contraction mapping |
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