| 一类非线性波动方程解的爆破 |
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| 引用本文： | 赵丽英,和凌云.一类非线性波动方程解的爆破[J].河南科技大学学报(自然科学版),2011,32(1):75-78,121. |
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| 作者姓名： | 赵丽英 和凌云 |
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| 作者单位： | 河南科技大学,数学与统计学院,河南,洛阳,471003 |
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| 基金项目： | 国家自然科学基金项目(50771042) |
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| 摘 要： | 研究了一类具有任意耗散项的非线性波动方程的初边值问题,如果该问题整体解存在的条件不成立,则在相反条件下,利用补偿能量法给出了方程的解在有限时刻T*爆破的一个充分条件。
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| 关 键 词： | 解的爆破 非线性波动方程 初边值问题 整体解 |
Blowup of Solutions for a Class of Nonlinear Wave Equations |
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| ZHAO Li-Ying,HE Ling-Yun.Blowup of Solutions for a Class of Nonlinear Wave Equations[J].Journal of Henan University of Science & Technology:Natural Science,2011,32(1):75-78,121. |
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| Authors: | ZHAO Li-Ying HE Ling-Yun |
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| Institution: | ZHAO Li-Ying,HE Ling-Yun (Mathematics & Statistics School,Henan University of Science & Technology,Luoyang 471003,China) |
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| Abstract: | In this paper,a class of nonlinear wave equations with arbitrary dissipative term were investigated.If the conditions guaranteeing the global existence of weak solutions are not valid,then under the opposite assumptions,a sufficient condition is obtained under which the solutions will blow up in finite time T* by an energy method. |
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| Keywords: | Blowup of solutions Nonlinear wave equation Initial boundary value problem Global solution |
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