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Bendahmane, M., Coclite, G.M. and Karlsen, K.H. (2006) H¹-Perturbations of Smooth Solutions for a Weakly Dissipative Hyperelastic-Rod Wave Equation. Mediterranean Journal of Mathematics, 3, 419-432.
https://doi.org/10.1007/s00009-006-0088-4

has been cited by the following article:

• TITLE: Asymptotic Stability of Singular Solution for Camassa-Holm Equation

  AUTHORS: Yuetian Gao

  KEYWORDS: Asymptotic Stability, Camassa-Holm Equation, Explicit Solution, Semigroup Theory, Banach Contraction Mapping Principle

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.9 No.7, July 15, 2021

  ABSTRACT: The aim of this paper is to study singular dynamics of solutions of Camassa-Holm equation. Based on the semigroup theory of linear operators and Banach contraction mapping principle, we prove the asymptotic stability of the explicit singular solution of Camassa-Holm equation.