Lower bounds on the radius of analyticity for a system of modified KdV equations

被引：4
|
作者：
Figueira, Renata O. [1 ]
Himonas, A. Alexandrou [2 ]
机构：
[1] Univ Fed Sao Carlos, Dept Math, BR-13565905 Sao Carlos, SP, Brazil
[2] Univ Notre Dame, Dept Math, Notre Dame, IN 46556 USA
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2021年 / 497卷 / 02期
基金：
巴西圣保罗研究基金会;
关键词：
Modified Korteweg-deVries equation; Initial value problem; Well-posedness in analytic Gevrey spaces; Bourgain spaces; Trilinear estimates; Uniform radius of spatial analyticity; WELL-POSEDNESS; SPATIAL ANALYTICITY;
D O I：
10.1016/j.jmaa.2020.124917
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The initial value problem for a system of modified Korteweg-deVries equations with data that are analytic on R and having uniform radius of analyticity r(0) is studied. After proving an analytic version of known trilinear estimates in Sobolev spaces, local well-posedness is established and persistence of the radius of spatial analyticity is shown till some time T-0. Then, for time t >= T-0 it is proved that the radius of spatial analyticity is bounded from below by ct(-(2 +epsilon)), for any epsilon > 0. (C) 2021 Elsevier Inc. All rights reserved.
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页数：16
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