On the ratio of different norms of caloric functions and related eigenfunctions of an integral operator

CSpace

	On the ratio of different norms of caloric functions and related eigenfunctions of an integral operator
其他题名	On the ratio of different norms of caloric functions and related eigenfunctions of an integral operator
	Ding YuTao 1; Zhang LiQun 1
	2012-01-01
发表期刊	SCIENCE CHINA-MATHEMATICS
ISSN	1674-7283
卷号	55 期号:8 页码:1597-1612
摘要	We investigate the ratio of L (1) and L (2) norms of the Cauchy problem solutions of heat equations with compact support initial data. The related asymptotic behavior of the eigenvalues and eigenfunctions of certain integral operators is obtained.
其他摘要	We investigate the ratio of L~1 and L~2 norms of the Cauchy problem solutions of heat equations with compact support initial data.The related asymptotic behavior of the eigenvalues and eigenfunctions of certain integral operators is obtained.
关键词	integral operators eigenvalues heat equation
收录类别	CSCD
语种	英语
资助项目	[NSFC] ; [National Natural Science Foundation of China] ; [Chinese Academy of Sciences] ; [National Basic Research Program of China]
CSCD记录号	CSCD:4598181
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/55993
专题	中国科学院数学与系统科学研究院
作者单位	1.中国科学院 2.中国科学院数学与系统科学研究院
推荐引用方式 GB/T 7714	Ding YuTao,Zhang LiQun. On the ratio of different norms of caloric functions and related eigenfunctions of an integral operator[J]. SCIENCE CHINA-MATHEMATICS,2012,55(8):1597-1612.
APA	Ding YuTao,&Zhang LiQun.(2012).On the ratio of different norms of caloric functions and related eigenfunctions of an integral operator.SCIENCE CHINA-MATHEMATICS,55(8),1597-1612.
MLA	Ding YuTao,et al."On the ratio of different norms of caloric functions and related eigenfunctions of an integral operator".SCIENCE CHINA-MATHEMATICS 55.8(2012):1597-1612.