河南科学
河南科學
하남과학
HENAN SCIENCE
2013年
8期
1117-1121
,共5页
非局部源%退化抛物型方程组%爆破
非跼部源%退化拋物型方程組%爆破
비국부원%퇴화포물형방정조%폭파
nonlocal sources%degenerate parabolic system%blow-up
研究了一类带有非局部源的退化抛物型方程组解的爆破性质,运用构造上下解的方法得出解在有限时间内爆破的充分条件,并且得出解同时爆破的充分条件。
研究瞭一類帶有非跼部源的退化拋物型方程組解的爆破性質,運用構造上下解的方法得齣解在有限時間內爆破的充分條件,併且得齣解同時爆破的充分條件。
연구료일류대유비국부원적퇴화포물형방정조해적폭파성질,운용구조상하해적방법득출해재유한시간내폭파적충분조건,병차득출해동시폭파적충분조건。
The blow-up properties of solutions for a degenerate parabolic system with nonlocal sources are investigated in this paper. The sufficient conditions for blow-up of global solution in finite time are proved by the sub and super solution method,and the sufficient condition for blow-up of global solution at the same time is obtained.