New lower bounds on the radius of spatial analyticity for the KdV equation

被引：17
|
作者：
Huang, Jianhua [1 ]
Wang, Ming [1 ,2 ]
机构：
[1] Natl Univ Def Technol, Coll Sci, Changsha 410073, Hunan, Peoples R China
[2] China Univ Geosci, Sch Math & Phys, Wuhan 430074, Hubei, Peoples R China
来源：
JOURNAL OF DIFFERENTIAL EQUATIONS | 2019年 / 266卷 / 09期
基金：
中国国家自然科学基金;
关键词：
KdV equation; Radius of spatial analyticity; I-method; DE-VRIES EQUATION; GLOBAL WELL-POSEDNESS; CAUCHY-PROBLEM; DOMAIN;
D O I：
10.1016/j.jde.2018.10.025
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The radius of spatial analyticity for solutions of the KdV equation is studied. It is shown that the analyticity radius does not decay faster than t(-1/4) as time t goes to infinity. This improves the works of Selberg and da Silva (2017) [30] and Tesfahun (2017) [34]. Our strategy mainly relies on a higher order almost conservation law in Gevrey spaces, which is inspired by the I-method. (C) 2018 Elsevier Inc. All rights reserved.
引用
收藏
页码：5278 / 5317
页数：40
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