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具有奇异非线性项的抛物系统的非同时熄灭与同时熄灭

贾哲 王忠谦 杨作东

应用数学2020,Vol.33Issue(4):847-856,10.
应用数学2020,Vol.33Issue(4):847-856,10.

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 Parab olic System with Singular Nonlinear Terms

贾哲 1王忠谦 2杨作东3

作者信息

  • 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
  • 折叠

摘要

Abstract

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

Key words

Local existence/Non-simultaneous quenching/Singular nonlinear term/Quenching rate

分类

数理科学

引用本文复制引用

贾哲,王忠谦,杨作东..具有奇异非线性项的抛物系统的非同时熄灭与同时熄灭[J].应用数学,2020,33(4):847-856,10.

基金项目

Supported by the National Natural Science Foundation of China(11571093) (11571093)

the Natural Science Foundation of Jiangsu Education Commission China(19KJB110016) (19KJB110016)

应用数学

OA北大核心CSCDCSTPCD

1001-9847

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