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| 一类强阻尼非线性波动方程的广义解 | |
| 引用本文： | 郑镇汉,赵红星,姚正安. 一类强阻尼非线性波动方程的广义解[J]. 纯粹数学与应用数学, 2009, 25(1): 93-98 |
| 作者姓名： | 郑镇汉 赵红星 姚正安 |
| 作者单位： | 广州航海高等专科学校基础部,广东,广州,510330;广州大学数学学院,广东,广州,510006;中山大学数学与计算科学学院,广东,广州,510275 |
| 摘 要： | 用Galerkin方法研究了一类非线性波动方程的初边值问题,证明其在一定条件下强解的存在性. |
| 关 键 词： | 非线性发展方程 初边值问题 广义解 Galerkin方法 |
Generalized solution to the nonlinear wave equations |
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| ZHENG Zhen-han,ZHAO Hong-xing,YAO Zheng-an. Generalized solution to the nonlinear wave equations[J]. Pure and Applied Mathematics, 2009, 25(1): 93-98 | |
| Authors: | ZHENG Zhen-han ZHAO Hong-xing YAO Zheng-an |
| Affiliation: | ZHENG Zhen-han,ZHAO Hong-xing,YAO Zheng-an( 1.Department of Basic Courses;Guangzhou Maritime College;Guangdong 510330;China;2.College of Mathematics and Information Science;Guangdong 510006;China 3. Department of Mathematics;Sun Yat-Sen University;Guangdong 510275;China ) |
| Abstract: | The initial-boundary value for one classes of strongly damped nonlinear wave equations utt-△u-△ut＋｜△↓u｜^p-2u＋｜u｜^q-2u=0 is studied. The existence of strong solution is proved by the Galerkin method under certain conditions. |
| Keywords: | nonlinear revolution equation initial boundary value problem generalized solution Galerkin method |
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