| 含弱阻尼和源项的非线性波方程的初边值问题 |
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| 引用本文： | 严永仙,李小梅.含弱阻尼和源项的非线性波方程的初边值问题[J].中国科学技术大学学报,2006,36(7):740-742,746. |
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| 作者姓名： | 严永仙 李小梅 |
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| 作者单位： | 浙江科技学院理学院,浙江杭州310013 |
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| 摘 要： | 研究了含弱阻尼和源项的非线性波方程初边值问题．利用势阱理论和凹方法，证明当初始能量E（0）满足0〈E（O）〈d时（其中d为势阱深度）整体解的不存在性．
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| 关 键 词： | 势阱 弱阻尼 整体不存在性 爆破 |
| 文章编号： | 0253-2778（2006）07-0740-03 |
| 收稿时间： | 2005-01-24 |
| 修稿时间： | 2005-01-242006-04-24 |
Global nonexistence for the wave equation with damping and source terms |
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| YAN Yong-xian, LI Xiao-mei.Global nonexistence for the wave equation with damping and source terms[J].Journal of University of Science and Technology of China,2006,36(7):740-742,746. |
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| Authors: | YAN Yong-xian LI Xiao-mei |
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| Institution: | School of Science. Zhejiang University of,Science and Technology, Hangzhou 310013,China |
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| Abstract: | The initial boundary value problem of the nonlinear wave equation with the weak damping term and a source term was studied.Using the potential well theory and concavity method,noncontinuation(or blow up) of solutions with the initial energy E(0) satisfying 0
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| Keywords: | potential well weak damping global nonexistence blow up |
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