Uniqueness for the Camassa–Holm equation with non-homogeneous boundary conditions

We establish the uniqueness of solutions of the Camassa–Holm equation on a finite interval with non-homogeneous boundary conditions in the case of bounded momentum. A similar result for the higher-order Camassa–Holm system is also given. Our proofs rely on energy-type methods, with some multipliers...

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Bibliographic Details

Published in:	Comptes Rendus. Mathématique
Main Author:	Noisette, Florent
Format:	Article
Language:	English
Published:	Académie des sciences 2025-03-01
Subjects:	Camassa–Holm non-homogeneous boundary conditions transport-elliptic coupling
Online Access:	https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.664/