有非局部源退化抛物方程组解的爆破(英文)  

Blow-up of Solutions to a Nonlocal Degenerate Parabolic System

作　　者：李梅[1] 

机构地区：[1]南京财经大学应用数学系,南京210003

出　　处：《数学进展》2008年第4期459-468,共10页Advances in Mathematics（China）

摘　　要：本文讨论一类具有非局部源退化抛物方程组.通过利用上下解方法得到解的全局存在和有限时刻爆破,给出爆破集是整个区域,而且得到了解的爆破率.This paper deals with a degenerate parabolic system with nonlocal sources. By making use of super and sub solution method we obtain the solution exists globally or blows up in finite time. When the solution blows up in finite time, we show that the blow-up set is the whole domain. Futhermore, we obtain the blow-up rate of the solution.

关 键 词：退化抛物方程组 爆破 非局部源 

分 类 号：O175.26[理学—数学]