On special properties of solutions to Camassa-Holm equation and related models
Analysis of PDEs
2024-05-15 v1
Abstract
We study unique continuation properties of solutions to the b-family of equations. This includes the Camassa-Holm and the Degasperi-Procesi models. We prove that for both, the initial value problem and the periodic boundary value problem, the unique continuation results found in \cite{LiPo} are optimal. More precisely, the result established there for the constant fails for any constant .
Keywords
Cite
@article{arxiv.2405.08258,
title = {On special properties of solutions to Camassa-Holm equation and related models},
author = {Christian Hong and Felipe Linares and Gustavo Ponce},
journal= {arXiv preprint arXiv:2405.08258},
year = {2024}
}