| 强迫拟线性波动方程的初值问题 |
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| 引用本文： | 陈安全,郑永树.强迫拟线性波动方程的初值问题[J].华侨大学学报(自然科学版),2006,27(4):348-350. |
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| 作者姓名： | 陈安全 郑永树 |
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| 作者单位： | 华侨大学数学系,福建,泉州,362021 |
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| 摘 要： | 研究具非线性耗散项的强迫拟线性波动方程的初值问题.对初值的C0模不加小性限制,而需其一阶导数的C0模足够小.利用几个关键的先验估计,证明初值问题的整体光滑解的存在性.
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| 关 键 词： | 非线性耗散项 强迫拟线性波动方程 先验估计 整体光滑解 |
| 文章编号： | 1000-5013（2006）04-0348-03 |
| 收稿时间： | 2006-01-11 |
| 修稿时间： | 2006-01-11 |
The Initial Value Problems of Forced Quasilinear Wave Equation |
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| Chen Anquan,Zheng Yongshu.The Initial Value Problems of Forced Quasilinear Wave Equation[J].Journal of Huaqiao University(Natural Science),2006,27(4):348-350. |
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| Authors: | Chen Anquan Zheng Yongshu |
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| Institution: | Department of Mathematics, Huaqiao University, 362021, Quanzhou, China |
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| Abstract: | We consider the initial value problems of forced quasilinear wave equation with nonlinear dissipation.Not requiring that the C~0 norm of the initial data is small but the C~0 norm of the firstorder derivative is sufficiently small,and using some prior estimates,we prove the existence of the global smooth solutions for the initial value problem. |
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| Keywords: | nonlinear dissipation forced quasilinear wave equations priori estimate globally smooth solution |
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