A Lipschitz metric for the Camassa–Holm equation

We analyze stability of conservative solutions of the Cauchy problem on the line for the Camassa–Holm (CH) equation. Generically, the solutions of the CH equation develop singularities with steep gradients while preserving continuity of the solution itself. In order to obtain uniqueness, one is requ...

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Bibliographic Details
Main Authors: Carrillo, JA, Grunert, K, Holden, H
Format: Journal article
Language:English
Published: Cambridge University Press 2020