Well-posedness of Higher-order Camassa–holm Equations
نویسنده
چکیده
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.
منابع مشابه
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Article history: Received 4 April 2008 Revised 11 January 2009 Available online 28 February 2009
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