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Camassa-Holm方程的Cauchy问题

戴辉辉 郭金发 高洪俊 屈超纯

南京师大学报(自然科学版)2003,Vol.26Issue(4):1-15,15.
南京师大学报(自然科学版)2003,Vol.26Issue(4):1-15,15.

Camassa-Holm方程的Cauchy问题

On the Cauchy Problem of the Camassa-Holm Equation

戴辉辉 1郭金发 2高洪俊 3屈超纯4

作者信息

  • 1. 香港城市大学数学系,香港
  • 2. 新加坡国立大学数学系,119260,新加坡
  • 3. 南京师范大学数学与计算机科学学院,210097,南京
  • 4. 云南大学数学系,650091,昆明
  • 折叠

摘要

Abstract

In this papor, the global existence for the Cauchy problem of the Camassa-Holm equation in Lp frame is obtained under some assumptions. Meantine, the convergence of the Camassa-Holm equation is considered as the linear dispersive coefficient k→0.

关键词

局部存在性/整体存在性/Cauchy问题/Camassa-Holm方程

Key words

local existence/global existence/Cauchy problem/Camassa-Holm equation

分类

数理科学

引用本文复制引用

戴辉辉,郭金发,高洪俊,屈超纯..Camassa-Holm方程的Cauchy问题[J].南京师大学报(自然科学版),2003,26(4):1-15,15.

基金项目

The author was partly supported by the the National University of Singapore Academic Research Grant RP3981646.Corresponding author, the author was partly supported by the NNSF of China Grant No. 10001018 and Natural Science Foundation of Jiangsu Province ()

南京师大学报(自然科学版)

OACSCDCSTPCD

1001-4616

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