| 一类拟线性波方程的整体光滑解 |
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| 作者姓名： | SONG Chang-ming JIANG Shi-jing |
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| 作者单位： | Department of Mathematics，Zhongyuan Institute of Technology，Zhengzhou 450007，China |
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| 基金项目： | Supported by the National Natural Science Foundation of China(10371073) |
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| 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.
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| 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 |
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| SONG Chang-ming,JIANG Shi-jing.Global Smooth Solution for the Quasi-linear Wave Equation[J].Chinese Quarterly Journal of Mathematics,2005,20(3):269-279. |
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| Authors: | SONG Chang-ruing JIANG Shi-jing |
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| Institution: | Department of Mathematics, Zhongyuan Institute of Technology, Zhengzhou 450007, China |
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| Abstract: | |
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| Keywords: | quasi-linear wave equation Cauchy problem global smooth solution |
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