摘要
用上、下解方法研究一类反应扩散方程整体解的存在性及解的blow-up问题.以往的研究在u0-v0相平面上有一个空白区域,在其上不能判定解是整体存在或者blow-up,本文在u0-v0相平面上得出一条明确分界线,在其一侧解是整体存在的,在另一侧解是blow-up的,从而完全地解决了该问题.
By the method of upper and lower solutions,the author considered the existence and blow up problems of global solutions for a class of nuclear reaction,and gave a separatrix on phase plane u 0 v 0 ,at a side the solution is global existential,and at another side it is blaw up.So this problem was solved completely.
出处
《四川大学学报(自然科学版)》
CAS
CSCD
北大核心
1998年第5期677-681,共5页
Journal of Sichuan University(Natural Science Edition)
基金
四川省教委重点课题