Ancient finite entropy flows by powers of curvature in R-2

doi:10.1016/j.na.2021.112673

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	Ancient finite entropy flows by powers of curvature in R-2
	Choi, Kyeongsu 1; Sun, Liming 2
	2022-03-01
发表期刊	NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
ISSN	0362-546X
卷号	216 页码:19
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.
关键词	Curve shortening flow Ancient solutions Fully nonlinear parabolic PDEs
DOI	10.1016/j.na.2021.112673
收录类别	SCI
语种	英语
资助项目	KIAS Individual Grant[MG078901]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000721365200004
出版者	PERGAMON-ELSEVIER SCIENCE LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/59608
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.