L2 global well-posedness of the initial value problem associated to the Benjamin equation

被引：40

作者：

Linares, F ^{[1
]}

机构：

[1] Inst Matemat Pura & Aplicada, BR-22460320 Rio De Janeiro, Brazil

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 1999年 / 152卷 / 02期

关键词：

Benjamin equation; well-posedness; KdV;

D O I：

10.1006/jdeq.1998.3530

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study well-posedness for the initial value problem associated to the Benjamin equation and the periodic Benjamin equation. Global results are established for data in L-R(R) and L-2(T), respectively. We apply the recent theory, developed by Kenig, Pence, and Vega and Bourgain, to deal with low-regularity data for the initial value problem associated to the Korteweg-de Vries equation. (C) 1999 Academic Press.

引用

页码：377 / 393

页数：17