GLOBAL WELL-POSEDNESS AND I METHOD FOR THE FIFTH ORDER KORTEWEG-DE VRIES EQUATION

被引：42

作者：

Chen, Wengu ^{[1
]}

Guo, Zihua ^{[2
]}

机构：

[1] Inst Appl Phys & Computat Math, Beijing 100088, Peoples R China

[2] Peking Univ, Sch Math Sci, LMAM, Beijing 100871, Peoples R China

来源：

JOURNAL D ANALYSE MATHEMATIQUE | 2011年 / 114卷

关键词：

KAWAHARA EQUATION; KDV; REGULARITY; EXISTENCE;

D O I：

10.1007/s11854-011-0014-y

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The Kawahara equation has fewer symmetries than the KdV equation; in particular, it has no invariant scaling transform and is not completely integrable. Thus its analysis requires different methods. We prove that the Kawahara equation is locally well posed in H-7/4, using the ideas of an (F) over bar (s)-type space [8]. Then we show that the equation is globally well posed in H-s for s >= -7/4, using the ideas of the "I-method" [7].

引用

页码：121 / 156

页数：36

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