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Zbl 1160.35064
Lim, Wee Keong
Global well-posedness for the viscous Camassa--Holm equation.
(English)
[J] J. Math. Anal. Appl. 326, No. 1, 432-442 (2007). ISSN 0022-247X

The authors consider the initial value problem of Camassa-Holm equation with viscosity. They established global solution for the IVP with $u_0\in L^2$. Their result is sharper than those in [{\it M. Stanislavova} and {\it A. Stefanov}, Discrete Contin. Dyn. Syst. 18, No. 1, 159--186 (2007; Zbl 05178924)] regarding the viscous version of the immediate effect in $H^1_{x}(\Bbb R)$.
[Meng Wang (Hangzhou)]
MSC 2000:
*35Q53 KdV-like equations

Keywords: Camassa-Holm equation; well-posedness

Citations: Zbl 05178924

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