| 具非线性源项和阻尼项的波动方程Cauchy问题解的能量衰减性 |
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| 引用本文： | 呼青英,靳妞,张宏伟.具非线性源项和阻尼项的波动方程Cauchy问题解的能量衰减性[J].滨州学院学报,2010,26(6). |
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| 作者姓名： | 呼青英 靳妞 张宏伟 |
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| 基金项目： | 河南省自然科学基金资助项目，河南工业大学重点基金资助项目 |
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| 摘 要： | 利用位势井方法和差分不等式得到具非线性源项和阻尼项的非线性波动方程Cauchy问题解的能量衰减估计.
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| 关 键 词： | 波动方程 Cauchy问题 衰减性 位势井 差分不等式 |
Decay of the Energy for the Cauchy Problem of Wave Equation with Nonlinear Damping and Source Terms |
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| HU Qing-ying,JIN Niu,ZHANG Hong-wei.Decay of the Energy for the Cauchy Problem of Wave Equation with Nonlinear Damping and Source Terms[J].Journal of Binzhou University,2010,26(6). |
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| Authors: | HU Qing-ying JIN Niu ZHANG Hong-wei |
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| Abstract: | The decay of the energy for the Cauchy problem of wave equation with nonlinear damping and source terms is obtained by means of potential well method and Nakao's inequality. |
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| Keywords: | wave equation Cauchy problem potential well nakao's inequality |
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