The Cauchy problem for the generalized Camassa-Holm equation
文献类型：期刊论文
| 作者 | Yan, Wei1; Li, Yongsheng2; Zhang, Yimin3 |
| 刊名 | APPLICABLE ANALYSIS
 |
| 出版日期 | 2014-07-03 |
| 卷号 | 93期号:7页码:1358-1381 |
| 关键词 | Cauchy problem generalized Camassa-Holm equation Besov spaces ill-posedness 35G25 35L05 35R25 |
| 英文摘要 | In this paper, we consider the Cauchy problem for the generalized Camassa-Holm equation. By using the littlewood-Paley decomposition and nonhomogeneous Besov spaces, we prove that the Cauchy problem for the generalized Camassa-Holm equation is locally well posed in the Besov space B-p,r(s) with 1 <= p, r <= + infinity and s > max {1+1/p, 3/3} which generalizes the local well-posedness result in [1]. We also establish the ill-posedness result of the generalized Camassa-Holm equation and give a blow-up criterion. |
| WOS标题词 | Science & Technology ; Physical Sciences |
| 类目[WOS] | Mathematics, Applied |
| 研究领域[WOS] | Mathematics |
| 关键词[WOS] | SHALLOW-WATER EQUATION ; WELL-POSEDNESS ; WEAK SOLUTIONS ; WAVE SOLUTIONS ; BESOV-SPACES ; STABILITY ; BREAKING ; PEAKONS ; EXISTENCE ; SOLITONS |
| 收录类别 | SCI |
| 语种 | 英语 |
| WOS记录号 | WOS:000335945700002 |
| 公开日期 | 2015-07-14 |
| 源URL | [http://ir.wipm.ac.cn/handle/112942/1491]  |
| 专题 | 武汉物理与数学研究所_数学物理与应用研究部 |
| 作者单位 | 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 3.Chinese Acad Sci, Wuhan Inst Phys & Math, Wuhan 430071, Hubei, Peoples R China |
| 推荐引用方式 GB/T 7714 | Yan, Wei,Li, Yongsheng,Zhang, Yimin. The Cauchy problem for the generalized Camassa-Holm equation[J]. APPLICABLE ANALYSIS,2014,93(7):1358-1381. |
| APA | Yan, Wei,Li, Yongsheng,&Zhang, Yimin.(2014).The Cauchy problem for the generalized Camassa-Holm equation.APPLICABLE ANALYSIS,93(7),1358-1381. |
| MLA | Yan, Wei,et al."The Cauchy problem for the generalized Camassa-Holm equation".APPLICABLE ANALYSIS 93.7(2014):1358-1381. |
入库方式： OAI收割
来源：武汉物理与数学研究所
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