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| 非线性伪双曲方程的第二初边值问题 | |
| 引用本文： | 任留成.非线性伪双曲方程的第二初边值问题[J].测绘学院学报,1995(4). |
| 作者姓名： | 任留成 |
| 摘 要： | 本文利用Ｌｅｒａｙ－Ｓｃｈａｕｄｅｒ不动点原理和Ｓｏｂｏｌｅｖ估计，证明了非线性伪双曲方程的第二初边值问题整体弱解的存在唯一性，其中ｍ≥１，ａｉ＞０（ｉ＝１，２，３）都是常数。 |
| 关 键 词： | 非线性伪双曲方程，第二初边值问题，Leray－Schauder不动点，弱解 |
The Second Initial Boundary Value Problems for Nonlinear Pseudo Hyperbolic Equations |
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| Ren Liucheng.The Second Initial Boundary Value Problems for Nonlinear Pseudo Hyperbolic Equations[J].Journal of Institute of Surveying and Mapping,1995(4). | |
| Authors: | Ren Liucheng |
| Institution: | Ren Liucheng |
| Abstract: | Using the method of Leray-Schauder's fixed point argument and Sobolev's estimates, the existence and uniqueness of the weak global solutions to the second initial boundary value of the equations is proved in this paper. |
| Keywords: | Nonlinear pseudo hyperbolic equation The second initial boundary value problem Leray-Schauder's fixed Point argument Weak global solution |
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