非局部柯西问题弱解的衰减速度（英文）  

Decay Rates of Weak Solutions to Non-Local Cauchy Problems

作　　者：林火南 LIN HuoNan(College of Mathematics and Informatics, Fujian Normal University, Fuzhou, 350117, China)

机构地区：[1]福建师范大学数学与信息学院,福州350117

出　　处：《应用概率统计》2017年第6期642-654,共13页Chinese Journal of Applied Probability and Statistics

基　　金：supported by the Fujian Province Natural Science Foundation Project(Grant Nos:2014J01001;2015J01238);the National Natural Science Foundation of China(Grant No.11601083);the Science and Technology Project of the Education Department of Fujian Province(Grant No.JA12060)

摘　　要：考虑如(1)所示的非局部柯西问题弱解(u_t)_t≥0的渐近性质.仅利用跳核J(x,y)当|x-y|充分大时下界的性质,本文证明了对于任意1≤q<p<∞及充分大t,‖u_t‖_p≤c(t)‖u_0‖_q成立,同时给出c(t)的最优显示估计式.In this paper,the asymptotic behavior of the weak solution(ut)t≥0to the non-localCauchy problems as stated in(1)is considered.Only using lower bounds of jumping kernel J(x,y)for large|x-y|,it is obtained that||ut||p≤c(t)||u0||q with any1≤q<p<∞and large t.Explicit and sharp formulas for c(t)are also given.

关 键 词：非局部柯西问题 跳核 弱Poincare不等式 

分 类 号：O211.62[理学—概率论与数理统计] O211.63[理学—数学]