| 关于广义Benjamin－Ono方程的整体适定性 |
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| 引用本文： | 郭定辉,杨大春.关于广义Benjamin－Ono方程的整体适定性[J].数学进展,1996(1). |
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| 作者姓名： | 郭定辉 杨大春 |
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| 作者单位： | 北京师范大学数学系 |
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| 摘 要： | 对Ｋ＞α＋３／２的广义Ｂｅｎｊａｍｉｎ－Ｏｎｏ方程，证明了当初值为小初值时相应的非线性初值问题的整体解的存在性以及唯一性．还得到了该整体在Ｌ２的意义下的渐近估计．
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| 关 键 词： | 广义Benjamin－Ono方程，整体适定性，渐近估计 |
On the Global Well-Posedness of Generalized Benjamin-Ono Equation |
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| Guo Dinghui, Yang Dachun.On the Global Well-Posedness of Generalized Benjamin-Ono Equation[J].Advances in Mathematics,1996(1). |
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| Authors: | Guo Dinghui Yang Dachun |
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| Abstract: | The existence of global Solution of the Benjamin-Ono equation with k > o 3/2instead or k > max{a 1, (a 5)/2} in 9], is established for small data. One ho obtains that the solution of the Benjamin-Ono equation is decay as the Solution of the associated linear problem in L2' |
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| Keywords: | Benjamin-Ono equation global well-posedness asymptotic estimate |
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