| 一个拟线性波动方程模型的初边值问题 |
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| 引用本文： | 聂大勇,王磊.一个拟线性波动方程模型的初边值问题[J].数学杂志,2016,36(5):1005-1010. |
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| 作者姓名： | 聂大勇 王磊 |
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| 作者单位： | 黄河水利职业技术学院基础部, 河南 开封 475000,郑州科技学院基础部, 河南 郑州 450064 |
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| 基金项目： | Supported by National Natural Science Foundation of China (11126323);Key Science and Technology Program of Henan Province (142102210512). |
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| 摘 要： | 本文研究了一类二阶拟线性波动方程的初边值问题.利用特征分析和局部解延拓的方法,在一定的假设条件下得到了经典解的整体存在性,进一步推广了杨晗和刘法贵的结果8].
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| 关 键 词： | 拟线性波动方程 初边值问题 整体经典解 特征分析 |
| 收稿时间： | 2014/5/17 0:00:00 |
| 修稿时间： | 2014/9/3 0:00:00 |
INITIAL BOUNDARY VALUE PROBLEMS FOR A MODEL OF QUASILINEAR WAVE EQUATION |
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| NIE Da-yong and WANG Lei.INITIAL BOUNDARY VALUE PROBLEMS FOR A MODEL OF QUASILINEAR WAVE EQUATION[J].Journal of Mathematics,2016,36(5):1005-1010. |
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| Authors: | NIE Da-yong and WANG Lei |
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| Institution: | Department of Basic Sciences, Yellow River Conservancy Technical Institute, Kaifeng 475000, China and Department of Basic Sciences, University for Science and Technology of Zhengzhou, Zhengzhou 450064, China |
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| Abstract: | In this paper,the authors consider the IBVP for a class of second-order quasilinear wave equation.By the method of characteristic analysis,the global smooth resolvability are obtained under certain hypotheses on the initial data,which extend the result of Yang and Liu8]. |
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| Keywords: | wave equation IBVP global classical solution characteristic analysis |
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