Strong solutions to the nonlinear heat equation in homogeneous Besov spaces
文献类型：期刊论文
| 作者 | Miao, Changxing; Yuan, Baoquan; Zhang, Bo
|
| 刊名 | NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
 |
| 出版日期 | 2007-09-01 |
| 卷号 | 67期号:5页码:1329-1343 |
| 关键词 | nonlinear heat equation well-posedness Littlewood-Paley trichotomy Besov spaces |
| ISSN号 | 0362-546X |
| DOI | 10.1016/j.na.2006.07.020 |
| 英文摘要 | In this paper we study the Cauchy problem of the nonlinear heat equation in homogeneous Besov spaces B-p,r(s)(R-n) with s < 0.The nonlinear estimate is established by means of the Littlewood-Paley trichotomy and is used to prove the global well-posedness of solutions for small initial data in the homogeneous Besov space B-p,r(s) (R-n) with s = n/p - 2/b < 0. In particular, when r = infinity and the initial data phi satisfies that lambda 2/b phi(lambda x) = phi(x) for any lambda > 0, our result leads to the existence of global self-similar solutions to the problem. (c) 2006 Elsevier Ltd. All rights reserved. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000247105700003 |
| 出版者 | PERGAMON-ELSEVIER SCIENCE LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/4378]  |
| 专题 | 应用数学研究所 |
| 通讯作者 | Miao, Changxing |
| 作者单位 | 1.Inst Appl Phys & Computat Math, Beijing 100088, Peoples R China 2.Henan Polytech Univ, Coll Math & Informat, Jiaozuo City 454000, Henan Province, Peoples R China 3.Chinese Acad Sci, Inst Appl Math, Acad Math & Syst Sci, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Miao, Changxing,Yuan, Baoquan,Zhang, Bo. Strong solutions to the nonlinear heat equation in homogeneous Besov spaces[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,2007,67(5):1329-1343. |
| APA | Miao, Changxing,Yuan, Baoquan,&Zhang, Bo.(2007).Strong solutions to the nonlinear heat equation in homogeneous Besov spaces.NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,67(5),1329-1343. |
| MLA | Miao, Changxing,et al."Strong solutions to the nonlinear heat equation in homogeneous Besov spaces".NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 67.5(2007):1329-1343. |
入库方式： OAI收割
来源：数学与系统科学研究院
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