摘要
研究一类带齐次Dirichlet边界条件,具加权非局部源项的半线性反应扩散方程组,用上下解方法,给出了该问题整体解存在与爆破的条件,并建立解在区域内部的一致爆破模式.
This paper deals with a semi-linear reaction-diffusion system with a weighted nonlocal source, subject to the null Dirichlet boundary condition. By using super-and sub-solution techniques, we first give the conditions for that the classical solution exists globally and blows up in finite time respectively. Finally, the uniform blow-up pro-files in the interior are presented.
出处
《南京晓庄学院学报》
2016年第6期9-12,共4页
Journal of Nanjing Xiaozhuang University
关键词
反应扩散方程组
非局部源
一致爆破模式
权函数
reaction-diffusion system
nonlocal sources
uniform blow-up profile
weight function