| 一类非线性双曲型方程Cauchy问题解的爆破 |
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| 引用本文： | 王艳萍,李嘉.一类非线性双曲型方程Cauchy问题解的爆破[J].西南农业大学学报,2007,29(10):25-28. |
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| 作者姓名： | 王艳萍 李嘉 |
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| 作者单位： | [1]郑州航空工业管理学院数理系,郑州450015 [2]西南大学数学与统计学院,重庆400715 |
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| 基金项目： | 国家自然科学基金资助项目（10671182）;河南省高等学校青年骨干教师资助计划项目. |
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| 摘 要： | 给出一类非线性双曲型方程初值问题解爆破的充分条件，并且证明问题局部广义解的存在性和唯一性．
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| 关 键 词： | 非线性双曲型方程 局部广义解 解的爆破 |
| 文章编号： | 1673-9868（2007）10-0025-04 |
| 修稿时间： | 2007-01-18 |
Blow-up of Solution of the Cauchy Problem for a Nonlinear Hyperbolic Equation |
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| WANG Yan-ping, LI Jia.Blow-up of Solution of the Cauchy Problem for a Nonlinear Hyperbolic Equation[J].Journal of Southwest Agricultural University,2007,29(10):25-28. |
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| Authors: | WANG Yan-ping LI Jia |
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| Institution: | Department of Mathematics and Physics, Zhengzhou Institute of Aeronautical Industry Management, Zhengzhou 450015, China ; School of Mathematics and Statistics, Southwest University, Chongqing 400715, China |
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| Abstract: | This paper gives the sufficient conditions for the blow-up of the solution of the Cauchy problem for a nonlinear hyperbolic equation in finite time and proves the existence and uniqueness of the local generalized solution. |
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| Keywords: | nonlinear hyperbolic equation local generalized solution blow-up of the solution |
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