KMS Of Academy of mathematics and systems sciences, CAS
| Ancient finite entropy flows by powers of curvature in R-2 | |
| Choi, Kyeongsu1; Sun, Liming2 | |
| 2022-03-01 | |
| Source Publication | NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
 |
| ISSN | 0362-546X |
| Volume | 216Pages:19 |
| Abstract | 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. |
| Keyword | Curve shortening flow Ancient solutions Fully nonlinear parabolic PDEs |
| DOI | 10.1016/j.na.2021.112673 |
| Indexed By | SCI |
| Language | 英语 |
| Funding Project | KIAS Individual Grant[MG078901] |
| WOS Research Area | Mathematics |
| WOS Subject | Mathematics, Applied ; Mathematics |
| WOS ID | WOS:000721365200004 |
| Publisher | PERGAMON-ELSEVIER SCIENCE LTD |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/59608 |
| Collection | 中国科学院数学与系统科学研究院 |
| Corresponding Author | Choi, Kyeongsu |
| Affiliation | 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 |
| Recommended Citation 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. |
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