| 一类具阻尼非线性波动方程的Cauchy问题 |
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| 引用本文： | 高新涛,陈丽. 一类具阻尼非线性波动方程的Cauchy问题[J]. 应用数学, 2012, 25(2): 327-334 |
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| 作者姓名： | 高新涛 陈丽 |
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| 作者单位： | 1. 河南工业技师学院文化教研室,河南郑州450007;郑州大学数学系,河南郑州450001
2. 中原工学院信息商务学院基础学科部,河南郑州,450007 |
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| 基金项目： | 国家自然科学基金资助项目，河南省教育厅资助项目 |
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| 摘 要： | 本文研究一类具阻尼非线性波动方程Cauchy问题整体广义解和整体古典解的存在唯一性,并用凸性方法给出解爆破的充分条件.
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| 关 键 词： | 具阻尼非线性波动方程 Cauchy问题 整体解 爆破解 |
The Cauchy Problem for a Class of Nonlinear Wave Equations with Damping Term |
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| GAO Xintao , CHEN Li. The Cauchy Problem for a Class of Nonlinear Wave Equations with Damping Term[J]. Mathematica Applicata, 2012, 25(2): 327-334 |
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| Authors: | GAO Xintao CHEN Li |
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| Affiliation: | 1.Department of Culture,Henan Industry Technician College,Zhengzhou 450007,China;2.Department of Mathematics,Zhengzhou University,Zhengzhou 450001,China;3.Department of Basic Subjects,College Information & Business,Zhongyuan University of Technology,Zhengzhou 450007,China) |
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| Abstract: | The existence and uniqueness of the global generalized solution and the global classical solution of Cauchy problem for a class of nonlinear wave equations with damping term are proved.The paper arrives at some sufficient conditions for blow-up of the solutions at finite time by the cancavity method. |
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| Keywords: | Nonlinear wave equation with damping term Cauchy problem Global solution Blow-up of the solution |
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