| The Cauchy Problem of the Nonlinear Schrodinger Equations in R^1＋1 |
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| 作者姓名： | Gui-xiang Xu |
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| 作者单位： | Institute of Applied Physics and Computational Mathematics, P.O. Box 8009, Beijing 100088, China |
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| 摘 要： | In this paper, we consider the local and global solution for the nonlinear Schrodinger equation with data in the homogeneous and nonhomogeneous Besov space and the scattering result for small data. The techniques to be used are adapted from the Strichartz type estimate, Kato＇s smoothing effect and the maximal function （in time） estimate for the free SchrSdinger operator.
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| 关 键 词： | 柯西问题 R^1＋1 非线性 方程式 分解方法 |
| 收稿时间： | 17 June 2005 |
| 修稿时间： | 2005-06-17 |
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