| 带有边界阻尼项和源项的非线性波方程 |
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| 引用本文： | 徐洁,郝江浩,王艳君.带有边界阻尼项和源项的非线性波方程[J].太原师范学院学报(自然科学版),2013(4):41-43. |
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| 作者姓名： | 徐洁 郝江浩 王艳君 |
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| 作者单位： | 山西大学数学科学学院,山西太原030006 |
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| 摘 要： | 文章利用能量法研究带有边界阻尼和源项的非线性波方程，并且得到负初始能量时非线性波方程的解爆破的充分条件．
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| 关 键 词： | 非线性波方程 源项 能量法 解的爆破 |
Global Existence and Blow-up Solution for a Nonlinear Wave Equation with Boundary Damping and Interior Source |
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| Xu Jie,Hao Jianghao,Wang Yanjun.Global Existence and Blow-up Solution for a Nonlinear Wave Equation with Boundary Damping and Interior Source[J].Journal of Taiyuan Normal University:Natural Science Edition,2013(4):41-43. |
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| Authors: | Xu Jie Hao Jianghao Wang Yanjun |
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| Institution: | (School of Mathematical Sciences, Shanxi University, Taiyuan 030006, China) |
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| Abstract: | We study global existence and blow-up of solutions for a nonlinear wave equa- tions with boundary damping and interior source terms. By using Energy method, we obtained the sufficient conditions for blow-up of solutions for nonlinear wave equation with negative initial en-ergy and the global existence. |
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| Keywords: | nonlinear wave equations energy method blow-up of solution |
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