| 一类拟线性波方程的整体光滑解 |
| |
| 引用本文： | SONG Chang-ming,JIANG Shi-jing (Department of Mathematics,Zhongyuan Institute of Technology,Zhengzhou 450007,China). 一类拟线性波方程的整体光滑解[J]. 数学季刊, 2005, 20(3): 269-279 |
| |
| 作者姓名： | SONG Chang-ming JIANG Shi-jing (Department of Mathematics Zhongyuan Institute of Technology Zhengzhou 450007 China) |
| |
| 作者单位： | Department of Mathematics，Zhongyuan Institute of Technology，Zhengzhou 450007，China |
| |
| 基金项目： | Supported by the National Natural Science Foundation of China(10371073) |
| |
| 摘 要： | In this paper, we study the Cauchy problem for the following quasi-linear wave equation utt-2kuxxtt=β(uxn)x, where k>0 and βare real numbers, and n≥2 is an integer. We prove that for any T>0, the Cauchy problem admits a unique global smooth solution u ∈C∞((0, T); H∞(R))∩C ([0, T]; H2(R))∩C1([0, T]; L2(R)) under suitable assumptions on the initial data.
|
| 关 键 词： | 拟线性波方程 整体光滑解 Cauchy问题 初始数据 |
Global Smooth Solution for the Quasi-linear Wave Equation |
| |
| SONG Chang-ruing JIANG Shi-jing. Global Smooth Solution for the Quasi-linear Wave Equation[J]. Chinese Quarterly Journal of Mathematics, 2005, 20(3): 269-279 |
| |
| Authors: | SONG Chang-ruing JIANG Shi-jing |
| |
| Affiliation: | Department of Mathematics, Zhongyuan Institute of Technology, Zhengzhou 450007, China |
| |
| Abstract: | |
| |
| Keywords: | quasi-linear wave equation Cauchy problem global smooth solution |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
