中国科学院机构知识库网格
Chinese Academy of Sciences Institutional Repositories Grid
首页 机构 成果 学者
  
  1. CAS IR Grid
  2. 数学与系统科学研究院
  3. 中国科学院数学与系统科学研究院
  4. 数学所
Global Structure and Regularity of Solutions to the Eikonal Equation

文献类型：期刊论文

作者Li, Tian-Hong2,3; Wang, JingHua2; Wen, HaiRui1
刊名ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
出版日期2019-05-01
卷号232期号:2页码:1073-1112
ISSN号0003-9527
DOI10.1007/s00205-018-01339-4
英文摘要The evolutionary Eikonal equation is a Hamilton-Jacobi equation with Hamiltonian H(P)=vertical bar P vertical bar, which is not strictly convex nor smooth. The regularizing effect of Hamiltonian for the Eikonal equation is much weaker than that of strictly convex Hamiltonians, therefore leading to new phenomena. In this paper, we study the set of singularity points of solutions in the upper half space for C-1 or C-2 initial data, with emphasis on the countability of connected components of the set. The regularity of solutions in the complement of the set of singularity points is also obtained.
资助项目National Natural Science Foundation of China[11471332] ; National Natural Science Foundation of China[10931007] ; National Natural Science Foundation of China[11771429]
WOS研究方向Mathematics ; Mechanics
语种英语
WOS记录号WOS:000462144500011
出版者SPRINGER
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/34210]  
专题数学所
通讯作者Li, Tian-Hong
作者单位1.Beijing Inst Technol, Dept Math, Beijing 100081, Peoples R China
2.Chinese Acad Sinica, Acad Math & Syst Sci, Beijing 100190, Peoples R China
3.Chinese Acad Sinica, Hua Loo Keng Key Lab Math, Beijing 100190, Peoples R China
推荐引用方式
GB/T 7714		 Li, Tian-Hong,Wang, JingHua,Wen, HaiRui. Global Structure and Regularity of Solutions to the Eikonal Equation[J]. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS,2019,232(2):1073-1112.
APA Li, Tian-Hong,Wang, JingHua,&Wen, HaiRui.(2019).Global Structure and Regularity of Solutions to the Eikonal Equation.ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS,232(2),1073-1112.
MLA Li, Tian-Hong,et al."Global Structure and Regularity of Solutions to the Eikonal Equation".ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS 232.2(2019):1073-1112.

入库方式： OAI收割

来源：数学与系统科学研究院

浏览0
下载0
收藏0
其他版本

除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。