Well-posedness of higher-order Camassa–Holm equations
نویسندگان
چکیده
منابع مشابه
Well-posedness of Higher-order Camassa–holm Equations
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 a strongly continuous semigroup of global weak solutions. We also present some invariant spaces under the action of that semigroup. Moreover, we prove a “weak equals strong” uniqueness result.
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Article history: Received 4 April 2008 Revised 11 January 2009 Available online 28 February 2009
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ژورنال
عنوان ژورنال: Journal of Differential Equations
سال: 2009
ISSN: 0022-0396
DOI: 10.1016/j.jde.2008.04.014