| 强阻尼非线性波动方程解的爆破与熄灭 |
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| 引用本文： | 范恩贵.强阻尼非线性波动方程解的爆破与熄灭[J].内蒙古大学学报(自然科学版),1994,25(6):623-626. |
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| 作者姓名： | 范恩贵 |
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| 作者单位： | 张家口农业高等专科学校基础部 |
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| 摘 要： | 考虑强阻尼非线性波动方程具Ｄｉｒｉｃｈｌｅｔ边界条件或Ｎｅｕｍａｎｎ边界条件的初边值问题，证明了如果非线性项及初值满足适当的条件，其光滑解在有限时间内发生爆破与熄灭现象。
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| 关 键 词： | 强阻尼 非线性波方程 Blow－up 熄灭 |
On Blowing-up and Quenching of the Solutions for Strongly Damped Nonlinear Wave Equations |
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| Fan Engui.On Blowing-up and Quenching of the Solutions for Strongly Damped Nonlinear Wave Equations[J].Acta Scientiarum Naturalium Universitatis Neimongol,1994,25(6):623-626. |
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| Authors: | Fan Engui |
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| Abstract: | onsider the Dirichlet and Neumann initial-boundary value problems for strongly dampednonlinear wave equationsIt is proved that the solutions will blow-up or quench within a finite time period T_0 |
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| Keywords: | strongly damped wave equation blowing-up quenching |
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