Non‐uniform dependence and persistence properties for coupled Camassa–Holm equations |
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| Authors: | Shouming Zhou |
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| Affiliation: | College of Mathematics Science, Chongqing Normal University, Chongqing, China |
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| Abstract: | 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. |
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| Keywords: | non‐uniform dependence persistence properties coupled Camassa– Holm equations |
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