ANISOTROPIC GEVREY REGULARITY FOR MKDV ON THE CIRCLE

被引：0

作者：

Hannah, Heather ^{[1
]}

Himonas, A. Alexandrou ^{[2
]}

Petronilho, Gerson ^{[3
]}

机构：

[1] E Cent Univ, Dept Math, Ada, OK 74820 USA

[2] Univ Notre Dame, Dept Math, Notre Dame, IN 46556 USA

[3] Univ Fed Sao Carlos, Dept Matemat, BR-13565905 Sao Carlos, SP, Brazil

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2011年 / 31卷

基金：

巴西圣保罗研究基金会;

关键词：

Modified KdV equation; mKdV; Cauchy problem; periodic; Gevrey regularity; Sobolev spaces; GLOBAL WELL-POSEDNESS; DE-VRIES EQUATION; ILL-POSEDNESS; KDV; ANALYTICITY;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

It is shown that the solution to the Cauchy problem for the modified Korteweg de Vries equation with initial data in an analytic Gevrey space G(sigma), sigma >= 1, as a function of the spacial variable belongs to the same Gevrey space. However, considered as function of time the solution does not belong to G(sigma). In fact, it belong to G(3 sigma) and not to any Gevrey space G(r), 1 <= r < 3 sigma.

引用

页码：634 / 642

页数：9

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