On the well-posedness for the generalized Ostrovsky, Stepanyarns and Tsimring equation

被引：19

作者：

Carvajal, X ^{[1
]}

Scialom, M ^{[1
]}

机构：

[1] Univ Estadual Campinas, IMECC, BR-13083970 Campinas, SP, Brazil

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2005年 / 62卷 / 07期

基金：

巴西圣保罗研究基金会;

关键词：

OST equation; KdV equation; Hilbert transform; initial value problem; local smoothing effect;

D O I：

10.1016/j.na.2005.04.032

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work we prove that the initial value problem associated with equation u(t) + u(xxx) - eta(Hu(x) + Hu(xxx)) + u(k)u(x) = 0, x is an element of R, t >= 0, where eta > 0 and H denotes the usual Hilbert transform, is locally well-posed in Sobolev spaces H-s (R) for s >= 0 and k = 1, 2, 3 and globally well-posed in L-2(R). (c) 2005 Elsevier Ltd. All rights reserved.

引用

页码：1277 / 1287

页数：11

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