Non‐uniform dependence and persistence properties for coupled Camassa–Holm equations
Non‐uniform dependence and persistence properties for coupled Camassa–Holm equations
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DOI：
10.1002/mma.4258
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发表时间：
2017-07
影响因子：
2.9
通讯作者：
Shouming Zhou
中科院分区：
文献类型：
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作者：
Shouming Zhou
研究一类耦合Camassa-Holm方程的非一致依赖性和持久性.利用近似解方法结合适定性估计，证明了耦合Camassa-Holm方程Cauchy问题的解映射在s > 3/2的Sobolev空间Hs中不是一致连续的.另一方面，考虑了该耦合Camassa-Holm方程组解在加权Lp空间中的持久性.版权所有© 2016约翰威利父子有限公司.
This paper deals with the non‐uniform dependence and persistence properties for a coupled Camassa–Holm equations. Using the method of approximate solutions in conjunction with well‐posedness estimate, it is proved that the solution map of the Cauchy problem for this coupled Camassa–Holm equation is not uniformly continuous in Sobolev spaces Hs with s > 3/2. On the other hand, the persistence properties in weighted Lp spaces for the solution of this coupled Camassa–Holm system are considered. Copyright © 2016 John Wiley & Sons, Ltd.