| 带有边界阻尼项和源项的非线性波方程的解的爆破 |
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| 引用本文： | 王晓红,郝江浩,徐洁.带有边界阻尼项和源项的非线性波方程的解的爆破[J].太原师范学院学报(自然科学版),2013(4):36-40. |
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| 作者姓名： | 王晓红 郝江浩 徐洁 |
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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，并且得到正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 能量法 解的爆破 阻尼项 源项 |
Blow-up Solution for a Nonlinear Wave Equation with Boundary Damping and Interior Source |
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| Wang Xiaohong,Hao Jianghao,Xu Jie.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):36-40. |
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| Authors: | Wang Xiaohong Hao Jianghao Xu Jie |
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| Institution: | (School of Mathematical Sciences, Shanxi University, Taiyuan 030006, China) |
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| Abstract: | To study blow-up of solutions for a nonlinear wave equations with boundary damping and interior source terms we Energy method and obtained the sufficient conditions for blow-up of solutions for nonlinear wave equation with positive initial energy. |
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| Keywords: | nonlinear wave equations energy method blow-up of solution boundarydamping terms source terms |
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