| 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]. |
| 关键词: 拟线性波动方程 初边值问题 整体经典解 特征分析 |
| DOI： |
| 分类号:O175.27 |
| 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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| INITIAL BOUNDARY VALUE PROBLEMS FOR A MODEL OF QUASILINEAR WAVE EQUATION |
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NIE Da-yong1, WANG Lei2
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1.Department of Basic Sciences, Yellow River Conservancy Technical Institute, Kaifeng 475000, China;2.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 Liu[8]. |
| Key words: wave equation IBVP global classical solution characteristic analysis |
