The high order Camassa-Holm equation describes the evolution of shallow water waves and the manifold of the smooth orientation-preserving diffeomorphisms of the unit circle in the plane S1. In this paper, we prove the well-posedness of the classical solutions for the Cauchy problem associated with these equations.
On the classical solutions for the high order Camassa-Holm type equations / Coclite, Giuseppe Maria; di Ruvo, Lorenzo. - In: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. - ISSN 0022-247X. - STAMPA. - 526:1(2023), pp. 127338-127388. [10.1016/j.jmaa.2023.127338]
On the classical solutions for the high order Camassa-Holm type equations
Coclite, Giuseppe Maria
;
2023-01-01
Abstract
The high order Camassa-Holm equation describes the evolution of shallow water waves and the manifold of the smooth orientation-preserving diffeomorphisms of the unit circle in the plane S1. In this paper, we prove the well-posedness of the classical solutions for the Cauchy problem associated with these equations.File in questo prodotto:
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