Liouville theorems for self-similar solutions of heat flows
文献类型：期刊论文
| 作者 | Li, Jiayu1,2 ; Wang, Meng3
|
| 刊名 | JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY
 |
| 出版日期 | 2009 |
| 卷号 | 11期号:1页码:207-221 |
| 关键词 | Harmonic sphere self-similar solution quasi-harmonic sphere heat flow |
| ISSN号 | 1435-9855 |
| 英文摘要 | Let N be a compact Riemannian manifold. A quasi-harmonic sphere on N is a harmonic maps from (R(m), e(-vertical bar x vertical bar 2/2(m-2))ds(0)(2)) to N (m >= 3) with finite energy ([LnW]). Here ds(0)(2) is the Euclidean metric in R(m). Such maps arise from the blow-up analysis of the heat flow at a singular point. In this paper, we prove some kinds of Liouville theorems for the quasi-harmonic spheres. It is clear that the Liouville theorems imply the existence of the heat flow to the target N. We also derive gradient estimates and Liouville theorems for positive quasi-harmonic functions. |
| 资助项目 | NSFC[10701064] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000263562800005 |
| 出版者 | EUROPEAN MATHEMATICAL SOC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/8597]  |
| 专题 | 数学所 |
| 通讯作者 | Li, Jiayu |
| 作者单位 | 1.Abdus Salam Int Ctr Theoret Phys, I-34100 Trieste, Italy 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China 3.Zhejiang Univ, Dept Math, Hangzhou 310027, Peoples R China |
| 推荐引用方式 GB/T 7714 | Li, Jiayu,Wang, Meng. Liouville theorems for self-similar solutions of heat flows[J]. JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY,2009,11(1):207-221. |
| APA | Li, Jiayu,&Wang, Meng.(2009).Liouville theorems for self-similar solutions of heat flows.JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY,11(1),207-221. |
| MLA | Li, Jiayu,et al."Liouville theorems for self-similar solutions of heat flows".JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY 11.1(2009):207-221. |
入库方式： OAI收割
来源：数学与系统科学研究院
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