| 双组份Camassa-Holm方程的初边值问题 |
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| 引用本文： | 余昱. 双组份Camassa-Holm方程的初边值问题[J]. 上饶师范学院学报, 2013, 0(6): 7-12 |
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| 作者姓名： | 余昱 |
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| 作者单位： | 福州大学阳光学院,福建福州350015 |
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| 摘 要： | 通过对称延拓的方法将双组分Camassa-Holm方程在半无界域上服从齐次Difiehlet边值条件的初边值问题转化为直线上的初边值问题，在得到半无界域上的局部适定性后，进而得出在初值条件下的爆破及整体存在性的条件。
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| 关 键 词： | 双组分Camassa-Holm方程 初边值问题 局部适定性 爆破 整体存在 |
Initial Boundary Value Problems for the Two - component Camossa - Holm Shallow Water System |
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| YU Yu. Initial Boundary Value Problems for the Two - component Camossa - Holm Shallow Water System[J]. Journal of Shangrao Normal College, 2013, 0(6): 7-12 |
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| Authors: | YU Yu |
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| Affiliation: | YU Yu ( Sunshine College Fuzhou University, Fuzhou Fujion 360015, China) |
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| Abstract: | The initial boundary value problems of the 2 - Camassa - Holm equation on the half- line subject to homogeneous Dirich- let boundary conditions will be discussed. Our approach is based on sharp extension results for functions on the half- line symmetry preserving properties of the equation under discussion. We first prove local wen - posedness of the two - component Camassa - Holm equation on the half- line. Furthermore, we are able to specify conditions on the initial data which guarantee global existence. |
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| Keywords: | 2 - Camssa - Holm equation initial boundary value problem local well - posedness blow - up global existence. |
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