非局部的退化抛物型方程组解的整体存在与爆破条件  

The Conditions of Global Existence and Blow-up of Solutions for a Degenerate Parabolic System with Nonlocal Source

作　　者：周泽文[1] 凌征球[1] 

机构地区：[1]玉林师范学院数学与统计学院,广西玉林537000

出　　处：《应用数学》2017年第2期330-336,共7页Mathematica Applicata

基　　金：国家自然科学基金(11461076;61364020);广西高校科学技术研究重点课题(ZD2014106)

摘　　要：利用正则化技术和上下解方法,研究一类非局部的退化抛物型方程组,确定解的局部存在性、整体存在性与爆破条件.This paper deals with a nonlocal degenerate parabolic system with homogeneous Dirichlet boundary data. By regularized techniques, the local existence of solution is given. With the help of the super-and sub-solution methods and comparison principle, the conditions of global existence and blow-up of solutions are determined.

关 键 词：退化抛物方程组 整体存在 爆破 

分 类 号：O175.2[理学—数学]