The Cauchy problem for the modified two-component Camassa-Holm system in critical Besov space

被引：8
作者：
Yan, Wei [1 ]
Li, Yongsheng [2 ]
机构：
[1] Henan Normal Univ, Coll Math & Informat Sci, Xinxiang 453007, Henan, Peoples R China
[2] S China Univ Technol, Dept Math, Guangzhou 510640, Guangdong, Peoples R China
来源：
ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE | 2015年 / 32卷 / 02期
关键词：
Cauchy problem; Modified two-component Camassa-Holm system; Critical Besov space; Osgood Lemma; GLOBAL WEAK SOLUTIONS; BOUNDARY VALUE-PROBLEMS; SHALLOW-WATER EQUATION; WELL-POSEDNESS; WAVE BREAKING; STABILITY;
D O I：
10.1016/j.anihpc.2014.01.003
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we are concerned with the Cauchy problem for the modified two-component Camassa-Holm system in the Besov space with data having critical regularity. The key elements in our paper are the real interpolations and logarithmic interpolation among inhomogeneous Besov space and Lemma 5.2.1 of [7] which is also called Osgood Lemma and the Fatou Lemma. The new ingredient that we introduce in this paper can be seen on pages 453-457. (C) 2014 Elsevier Masson SAS. All rights reserved.
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页码：443 / 469
页数：27
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