具有奇异非线性项的抛物系统的非同时熄灭与同时熄灭  

Non-Simultaneous Versus Simultaneous Quenching for Parabolic System with Singular Nonlinear Terms

作　　者：贾哲 王忠谦 杨作东[3,4] JIA Zhe;WANG Zhongqian;YANG Zuodong(Department of Mathematics,Linyi University,Linyi 276005,China;School of Mathematics and Information Technology,Jiangsu Second Normal University,Nanjing 210013,China;School of Teacher Education,Nanjing Normal University,Nanjing 210097,China;School of Teacher Education,Nanjing University of Information Science and Technology,Nanjing 210044,China)

机构地区：[1]临沂大学数学系,山东临沂276005 [2]江苏第二师范学院数学与信息技术学院,江苏南京210013 [3]南京师范大学教师教育学院,江苏南京210097 [4]南京信息工程大学教师教育学院,江苏南京210044

出　　处：《应用数学》2020年第4期847-856,共10页Mathematica Applicata

基　　金：Supported by the National Natural Science Foundation of China(11571093);the Natural Science Foundation of Jiangsu Education Commission China(19KJB110016)。

摘　　要：本文研究具有奇异非线性项的一维拟线性抛物系统解的熄灭性质.首先,利用标准正则化方法得到该系统弱解的局部存在性.然后对解的同时熄灭和非同时熄灭进行区分,并按照熄灭速率参数进行了详细分类.The paper deals with the quenching properties of solutions for one-dimensional quasilinear parabolic system with singular nonlinear terms.Firstly,we obtain the local existence of weak solutions for the system by using the method of standard regularization.Then we identify simultaneous and nonsimultaneous quenching and give a precise classifi-cation of parameters for quenching rates.

关 键 词：局部存在性 非同时熄灭 奇异非线性项 熄灭速率 

分 类 号：O175.26[理学—数学]