| 非线性Kawahara方程解的存在唯一性 |
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| 引用本文： | 陶双平,崔尚斌.非线性Kawahara方程解的存在唯一性[J].数学年刊A辑(中文版),2002(2). |
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| 作者姓名： | 陶双平 崔尚斌 |
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| 作者单位： | 西北师范大学数学与信息科学学院，中山大学数学系 兰州 ７３００７０，广州 ５１０２７５ |
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| 基金项目： | NWNU－KJCXGC－212，西北师范大学青年教师科研基金资助的项目 |
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| 摘 要： | 非线性Ｋａｗａｈａｒａ方程是描述不同介质中存在单色非线性扰动时长波的传播问题的一类重要物理模型．本文通过对相应线性问题基本解的估计,导出了一类一般的Ｓｔｒｉｃｈａｒｔｚ－型光滑时空混合范数估计,进而得到了非线性Ｋａｗａｈａｒａ方程解的存在唯一性结果．
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| 关 键 词： | Kawahara方程 Cauchy问题 Strichartz－型估计 存在性 唯一性 |
EXISTENCE AND UNIQUENESS OF SOLUTIONS TO NONLINEAR KAWAHARA EQUATIONS |
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| TAG Shuangping GUI ShuangbinCollege of Mathematics and Imformation Sciences,Northwest Normal University,Lanzhou ,China.EXISTENCE AND UNIQUENESS OF SOLUTIONS TO NONLINEAR KAWAHARA EQUATIONS[J].Chinese Annals of Mathematics,2002(2). |
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| Authors: | TAG Shuangping GUI ShuangbinCollege of Mathematics and Imformation Sciences Northwest Normal University Lanzhou China |
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| Institution: | TAG Shuangping GUI ShuangbinCollege of Mathematics and Imformation Sciences,Northwest Normal University,Lanzhou 730070,China. Department of Mathematics,Zhongshan University,Guangzhou 510275,China. |
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| Abstract: | Nonlinear Kawahara equations serve as a class of important physical models for the long wavelenth propagation in various media in which exist a quadratic nonlinear perturbations. In this paper, the authors obtain the Strichartz-type estimates about the foundamental solution. Furthermore, the existence and uniqueness of nonlinear Kawahara equations are obtained. |
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| Keywords: | Kawahara equation Cauchy problem Strichartz-type estimates Existence Uniqueness |
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