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.
We investigate the ratio of L1 and L2 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.
作者
DING YuTao 1,2,& ZHANG LiQun 1,2 1 Institute of Mathematics,Academy of Mathematics and Systems Science,Chinese Academy of Sciences,Beijing 100190,China
2 Hua Loo-Keng Key Laboratory of Mathematics,Chinese Academy of Sciences,Beijing 100190,China
基金
supported by National Natural Science Foundation of China(Grant No.10325104)
the Innovation Program at Chinese Academy of Sciences and National Basic Research Program of China under(Grant No.2011CB808002)
