| 三维空间中一类扰动波方程整体解的渐近性 |
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| 引用本文： | 刘诗焕,赖绍永,朱景文,王丹华.三维空间中一类扰动波方程整体解的渐近性[J].四川师范大学学报(自然科学版),2010,33(2). |
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| 作者姓名： | 刘诗焕 赖绍永 朱景文 王丹华 |
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| 作者单位： | 1. 井冈山大学,数理学院,江西,吉安,343009
2. 西南财经大学,经济数学学院,四川,成都,610074 |
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| 基金项目： | 教育部留学回国人员科研基金，江西省教育厅教改基金 |
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| 摘 要： | 研究了三维空间中一类波动方程柯西问题整体解的渐近性,在较弱的条件下运用不动点理论和扰动方法得到了这类波动方程柯西问题在C2空间中整体解的存在唯一性及形式近似解的渐近合理性,推广了近期文献中相关的某些结果.
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| 关 键 词： | 扰动波方程 整体解 形式近似解 |
The Asymptotic Property of Global Solution for a Perturbed Wave Equation in Three Dimensions Space |
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| LIU Shi-huan,LAI Shao-yong,ZHU Jing-wen,WANG Dan-hua.The Asymptotic Property of Global Solution for a Perturbed Wave Equation in Three Dimensions Space[J].Journal of Sichuan Normal University(Natural Science),2010,33(2). |
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| Authors: | LIU Shi-huan LAI Shao-yong ZHU Jing-wen WANG Dan-hua |
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| Institution: | LIU Shi-huan1,LAI Shao-yong2,ZHU Jing-wen1,WANG Dan-hua1(1.College of Mathematics , Physics,Jinggangshan University,Ji\'an 343009,Jiangxi,2.College of Economics Mathematics,Southwestern Univercity of Finance , Economics,Chengdu 610074,Sichuan) |
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| Abstract: | This paper studies the asymptotic solution of a Cauchy problem for a wave equation in three dimensions space.By applying fixed point theory and perturbation method,the existence and uniqueness of the global solution and the validity of formal approximation for the wave equation are established in the classical sense of C2 under weaker assumption.The results extend some corresponding ones in recent literature. |
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| Keywords: | perturbed wave equation global solution formal approximation |
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