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arXiv · 2303.12372

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

Florent Noisette
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Abstract

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 given as solutions of some auxiliary elliptic systems.

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Florent Noisette. 2023-03-22. Uniqueness for the Camassa-Holm equation with non-homogeneous boundary conditions. https://arxiv.org/abs/2303.12372

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