摘要
研究了一类具有齐次Dirichlet边界条件和带有非局部反应项的退化抛物方程组解的性质。利用正则化方法,证明了解的存在唯一性,通过比较原理和上下解方法得到解整体存在和有限爆破的充分条件。
The properties of solutions for a degenerate parabolic system with null Dirichlet boundary conditions and nonlocal sources are investigate in this paper. The local existence of solution is proved by using regularization skill,and then by comparison theorem and upper-lower solution method,the sufficient conditions for the global existence and the finite time blow-up of solution to the system are established.
出处
《内蒙古农业大学学报（自然科学版）》
CAS
2015年第5期144-148,共5页
Journal of Inner Mongolia Agricultural University(Natural Science Edition)
基金
内蒙古自治区高等学校青年科技英才支持计划资助项目(NJYT-15-B10)
内蒙古自然科学基金资助项目(2013MS0202)
关键词
非局部源
退化抛物系统
局部存在
整体存在
有限爆破
Nonlocal source
degenerate parabolic system
local existence
global existence
finite time blow-up.
