期刊论文详细信息
JOURNAL OF DIFFERENTIAL EQUATIONS 卷:246
Well-posedness of higher-order Camassa-Holm equations
Article
Coclite, G. M.1  Holden, H.1,2  Kadsen, K. H.1 
[1] Univ Oslo, Ctr Math Applicat, NO-0316 Oslo, Norway
[2] Norwegian Univ Sci & Technol, Dept Math Sci, NO-7491 Trondheim, Norway
关键词: Higher-order Camassa-Holm equation;    Weak solutions;    Existence Uniqueness;    Geometric interpretation;   
DOI  :  10.1016/j.jde.2008.04.014
来源: Elsevier
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【 摘 要 】

We consider higher-order Camassa-Holm equations describing exponential curves of the manifold of smooth orientation-preserving diffeomorphisms of the unit circle in the plane. We establish the existence of global weak solutions. We also present some invariant spaces under the action of the equation. Moreover, we prove a weak equals strong uniqueness result. (C) 2008 Elsevier Inc. All rights reserved.

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