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.

引用

页数：16

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