| 广义耦合KGS方程的整体强解 |
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| 引用本文： | 白风图,苗长兴.广义耦合KGS方程的整体强解[J].河南科学,1993,11(1):1-8. |
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| 作者姓名： | 白风图 苗长兴 |
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| 作者单位： | 华北水电学院，北京应用物理与计算数学研究所 郑州 450045，北京 100088 |
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| 摘 要： | 研究了广义耦合KGS方程的初边值问题和Cauchy问题。利用非线性项在分数次Besov空间中的估计及抽象发展方程的结果,在一般的条件下,获得了该问题整体强解的存在唯一性定理。
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| 关 键 词： | 广义耦合 KGS方程 初边值问题 |
THE GLOBAL STRONG SOLUTION FOR GENERIALIZE COUPLED KGS EQUATION |
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| Bai Fengtu,Miao Changxing The Hydroelectric Institute of North China,Zhengzhou Institute of Applied Physics and Computational Mathematics,Beijing.THE GLOBAL STRONG SOLUTION FOR GENERIALIZE COUPLED KGS EQUATION[J].Henan Science,1993,11(1):1-8. |
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| Authors: | Bai Fengtu Miao Changxing The Hydroelectric Institute of North China Zhengzhou Institute of Applied Physics and Computational Mathematics Beijing |
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| Institution: | Bai Fengtu,Miao Changxing The Hydroelectric Institute of North China,Zhengzhou 450045 Institute of Applied Physics and Computational Mathematics,Beijing 100088 |
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| Abstract: | This paper studies the initial--boundary--value problem and Cauchy Problem of generialize coupled KGS equation, Appling the estimates of nonlinear in fractional order Besov space and the result of abstract evolution equation, we obtain the existence and u- niqueness of the global solution for generialize coupled KGS equation under general condi- tions |
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| Keywords: | Generialize coupled KGS equation Initial boundary value problem Cauchy problem Besov space |
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