| 二维空间中一类半线性波方程整体经典解的存在性 |
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| 引用本文： | 刘诗焕,王丹华,朱景文,赖绍永.二维空间中一类半线性波方程整体经典解的存在性[J].四川师范大学学报(自然科学版),2011,34(1). |
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| 作者姓名： | 刘诗焕 王丹华 朱景文 赖绍永 |
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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(20078395); 江西省教育厅教改基金(JXJG-07-14-17)资助项目 |
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| 摘 要： | 研究了二维空间中一类半线性波动方程的初值问题,运用逐步逼近法得到了这类波动方程初值问题在较弱条件下且当非线性项具有一般形式时C2整体经典解的存在唯一性,同时得到了相应情况下局部经典解较长的生命跨度.
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| 关 键 词： | 半线性波方程 整体解 生命跨度 |
The Existence of Global Solution for a Semi-linear Wave Equation in Two Space Dimensions |
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| LIU Shi-huan,WANG Dan-hua,ZHU Jing-wen,LAI Shao-yong.The Existence of Global Solution for a Semi-linear Wave Equation in Two Space Dimensions[J].Journal of Sichuan Normal University(Natural Science),2011,34(1). |
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| Authors: | LIU Shi-huan WANG Dan-hua ZHU Jing-wen LAI Shao-yong |
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| Institution: | LIU Shi-huan1,WANG Dan-hua1,ZHU Jing-wen1,LAI Shao-yong2(1.College of Mathematics and Physics,Jinggangshan University,Ji'an 343009,Jiangxi,2.College of Economics Mathematics,Southwestern University of Finance and Economics,Chengdu 610074,Sichuan) |
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| Abstract: | This paper studies the initial value problem of a semi-linear wave equation in two space dimensions.When the equation has general nonlinear term,by using stepwise approximation method,the existence and uniqueness of the global solution and the life span of the local solution are obtained in the classical sense of C2 under much weak assumption. |
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| Keywords: | semi-linear wave equation global solution life span |
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