摘要
本文运用正则化方法证明了一类退化抛物方程组解的存在唯一性,上下解方法,讨论了解的全局存在性与爆破,在一定的初值条件下利用积分方法得到了解的爆破速率．
This paper deals with the blow-up properties of solution for a degenerate parabolic system. The local existence and uniqueness of a classical solution are given by using regularization method. The global existence and no existence are given by upper and lower solutions. Furthermore, the integral method is used to investigate the blow up rate under certain assumptions.
出处
《南京大学学报（数学半年刊）》
CAS
2007年第1期132-141,共10页
Journal of Nanjing University(Mathematical Biquarterly)
基金
南京财经大学科研基金项目资助(B0610).
关键词
退化抛物型方程组
爆破
爆破速率
degenerate parabolic systems, blow-up, blow-up rate
