Gevrey Class Regularity of a Semigroup Associated with a Nonlinear Korteweg-de Vries Equation

作     者：Jixun CHU Jean-Michel CORON Peipei SHANG Shu-Xia TANG jixun chu;jean-michel coron;peipei shang;shu-xia tang

作者机构：Dedicated to Philippe G. Ciarlet with admiration and friendship on the occasion of his 80th birthda 

出 版 物：《Chinese Annals of Mathematics,Series B》 (数学年刊（B辑英文版）)

年 卷 期：2018年第39卷第2期

页      面：201-212页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：supported by the National Natural Science Foundation of China(Nos.11401021,11471044,11771336,11571257) the LIASFMA,the ANR project Finite4SoS(No.ANR 15-CE23-0007) the Doctoral Program of Higher Education of China(Nos.20130006120011,20130072120008) 

主　　题：Korteweg-de Vries equation Resolvent estimation, Analytic semigroup,Gevrey class 

摘      要：In this paper, the authors consider the Gevrey class regularity of a semigroup associated with a nonlinear Korteweg-de Vries （KdV for short） equation. By estimating the resolvent of the corresponding linear operator, the authors conclude that the semigroup 3 generated by the linear operator is not analytic but of Gevrey class δ ε （5, ） for t 〉 0,