Local and Global Analyticity for a Generalized Camassa-Holm System

DOI Web Site 参考文献19件

抄録

<p>We solve the analytic Cauchy problem for the generalized two-component Camassa-Holm system introduced by R. M. Chen and Y. Liu. We show the existence of a unique local/global-in-time analytic solution under certain conditions. This is the first result about global analyticity for a Camassa-Holm-like system. The method of proof is basically that developed by Barostichi, Himonas and Petronilho. The main differences between their proof and ours are twofold: (i) the system of Chen and Liu is not symmetric in the two unknowns and our estimates are not trivial generalization of those in their articles, (ii) we have simplified their argument by using fewer function spaces and the main result is stated in a simple and natural way.</p>

収録刊行物

  • Funkcialaj Ekvacioj

    Funkcialaj Ekvacioj 66 (3), 159-193, 2023-12-15

    日本数学会函数方程式論分科会

参考文献 (19)*注記

もっと見る

キーワード

詳細情報 詳細情報について

問題の指摘

ページトップへ