运算次序的交换问题  

On the Problem of the Exchange of Operation Order

作　　者：詹华税[1] 许文彬[2] ZHAN Huashui;XU Wenbin(School of Mathematics and Statistics,Xiamen University of Technology,Xiamen 361024,China;School of Science,Jimei University,Xiamen 361021,China)

机构地区：[1]厦门理工学院数学与统计学院,福建厦门361024 [2]集美大学理学院,福建厦门361021

出　　处：《集美大学学报（自然科学版）》2022年第3期267-273,共7页Journal of Jimei University：Natural Science

摘　　要：讨论一些经典的运算次序的交换问题、二次极限与二重极限的关系问题,以及二重积分能否化为二次积分的问题。利用控制收敛定理,证明一类各向异性退化抛物方程弱解的稳定性。In this paper,the problems related to some classical exchanges of operation order,the relationship between the double limit and the repeated limit,the relationship between the double integral and the repeated integral were discussed.Meanwhile,the stability of weak solutions to an anisotropic degenerate parabolic equation was proved with the dominated convergent theorem.

关 键 词：运算次序 二次极限 二重积分 控制收敛定理 各向异性退化抛物方程 弱解 

分 类 号：O172.2[理学—数学] O175.29[理学—基础数学]