摘要
考虑带齐次Dirichlet边界条件,具非局部源项的半线性抛物型方程正解的爆破性质,证明了该问题的解在有限时间内爆破,并建立解在区域内部一致爆破的模式.
This paper deals with the blow-up properties of positive solutions to a semilinear parabolic equation with nonlocal sources,subject to null Dirichlet boundary conditions.The sufficient conditions are obtained on the blow-up in a finite time of solutions and then the uniform blow-up profiles in the interior are accordingly established.
出处
《南京晓庄学院学报》
2008年第6期1-3,10,共4页
Journal of Nanjing Xiaozhuang University
基金
南京晓庄学院科研基金资助项目(2005NXY11)
关键词
抛物型方程
非局部源
一致爆破模式
parabolic systems
non-local sources
uniform blow-up profiles
