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The regularity of local solutions for a generalized Camassa-Holm type equation |
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| Authors: | Shao Yong Lai Jian Zhang |
| Institution: | [1]Department of Applied Mathematics, Southwestern University of Finance and Economics, Chengdu 610074, Po R. China [2]Department of Mathematics, Sichuan Normal University, Chengdu 610066, P. R. China |
| Abstract: | The regularity of the Cauchy problem for a generalized Camassa-Holm type equation is investigated. The pseudoparabolic regularization approach is employed to obtain some prior estimates under certain assumptions on the initial value of the equation. The local existence of its solution in Sobolev space H s (ℝ) with 1 < s ≤ 3/2 is derived. |
| Keywords: | existence of local solutions Camassa-Holm type equation dissipative term pseudoparabolic regularization method |
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