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.
出处
《应用数学》
CSCD
北大核心
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)
关键词
退化抛物方程组
整体存在
爆破
Degenerate parabolic system
Global existence
Blow-up
