摘要
本文研究了具有非局部边界条件和非线性内部源的多孔介质抛物型方程组问题.利用比较原理,获得了权函数和系数对整体解和爆破解的影响,并得到了解的爆破临界指标,推广了先前的研究结果.
This paper deals with a class of porous media parabolic equations coupled via nonlinear norm-type sources, subject to nonlocal boundary conditions. We show the influences of weighted functions and the coefficients on global existence and blow-up of solutions. Moreover, the critical blow-up exponents are obtained by using the comparison principle, which gives some new results for the previous published papers.
出处
《数学杂志》
CSCD
北大核心
2015年第1期51-62,共12页
Journal of Mathematics
基金
Supported by National Natural Science Foundation of China(11201483)
Shandong Provincial Natural Science Foundation
the Fundamental Research Funds for the Central Universities
关键词
多孔介质方程组
非局部边界条件
爆破
整体存在
porous media parabolic equations
nonlocal boundary condition
blow up
global existence
