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Global Well-posedness for the Two-component Camassa-Holm Equation with Fractional Dissipation

Abstract in Chinese第4-5页
Abstract in English第5页
1 Introduction第6-10页
    §1.1 Physical background第6-7页
    §1.2 Research advance第7-8页
    §1.3 The statement of our main results第8-10页
2 Preliminaries第10-23页
    §2.1 The main definitions of this paper第10-12页
    §2.2 The main lemmas of this paper第12-23页
3 Local well-posedness第23-32页
    §3.1 Constructing approximate solutions第23-24页
    §3.2 Proof of uniform bounds第24-26页
    §3.3 Proof of convergence第26-28页
    §3.4 Checking that the limit第28页
    §3.5 Proof of uniqueness第28-30页
    §3.6 Proof of regularity第30-32页
4 Global well-posedness第32-34页
    §4.1 Preparatory work of prove the global well-posedness第32-33页
    §4.2 The result of global well-posedness第33-34页
5 Conclusion第34-35页
Bibliography第35-38页
Acknowledgements第38页

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