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-  2017 

具零阶耗散的双成分Camassa-Holm方程的整体解和爆破现象
GLOBAL EXISTENCE AND BLOW-UP PHENOMENA FOR THE TWO-COMPONENT CAMASSA-HOLM EQUATION WITH ZERO ORDER DISSIPATION

Keywords: 双成分Camassa-Holm方程 零阶耗散 局部适定性 爆破 整体存在性
two-component Camassa-Holm equation zero order dissipation local wellposedness blow-up global existence

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Abstract:

本文研究了具零阶耗散的双成分Camassa-Holm方程的Cauchy问题.由Kato定理得到局部适定性的结果,然后研究了解的整体存在性和爆破现象.
In this paper, we study the two-component Camassa-Holm equation with the zero order dissipation. By using the Kato's theorem, the local well-posedness is obtain. Then we study the global existence and blow-up phenomena of the solutions for the Cauchy problem

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