Ancient finite entropy flows by powers of curvature in R-2
文献类型：期刊论文
| 作者 | Choi, Kyeongsu1; Sun, Liming2 |
| 刊名 | NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
 |
| 出版日期 | 2022-03-01 |
| 卷号 | 216页码:19 |
| 关键词 | Curve shortening flow Ancient solutions Fully nonlinear parabolic PDEs |
| ISSN号 | 0362-546X |
| DOI | 10.1016/j.na.2021.112673 |
| 英文摘要 | We show the existence of non-homothetic ancient flows by powers of curvature embedded in R-2 whose entropy is finite. We determine the Morse indices and kernels of the linearized operator of shrinkers to the flows, and construct ancient flows by using unstable eigenfunctions of the linearized operator. (C) 2021 Elsevier Ltd. All rights reserved. |
| 资助项目 | KIAS Individual Grant[MG078901] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000721365200004 |
| 出版者 | PERGAMON-ELSEVIER SCIENCE LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/59607]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Choi, Kyeongsu |
| 作者单位 | 1.Korea Inst Adv Study, Sch Math, 85 Hoegiro, Seoul 02455, South Korea 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Choi, Kyeongsu,Sun, Liming. Ancient finite entropy flows by powers of curvature in R-2[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,2022,216:19. |
| APA | Choi, Kyeongsu,&Sun, Liming.(2022).Ancient finite entropy flows by powers of curvature in R-2.NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,216,19. |
| MLA | Choi, Kyeongsu,et al."Ancient finite entropy flows by powers of curvature in R-2".NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 216(2022):19. |
入库方式： OAI收割
来源：数学与系统科学研究院
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