WELL POSEDNESS FOR THE 1D ZAKHAROV-RUBENCHIK SYSTEM

被引：4

作者：

Linares, Felipe ^{[1
]}

Matheus, Carlos ^{[2
]}

机构：

[1] IMPA, BR-22460320 Rio De Janeiro, Brazil

[2] Coll France, F-75231 Paris, France

来源：

ADVANCES IN DIFFERENTIAL EQUATIONS | 2009年 / 14卷 / 3-4期

关键词：

ILL-POSEDNESS; SCHRODINGER-EQUATIONS; KDV;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Local and global well posedness results are established for the initial-value problem associated to the ID Zakharov-Rubenchik system. We show that our results are sharp in some situations by proving ill-posedness results otherwise. The global results allow us to study the norm growth of solutions corresponding to the Schrodinger equation term. We use ideas recently introduced to study the classical Zakharov systems.

引用

页码：261 / 288

页数：28

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