Non-simultaneous blow-up in a semilinear parabolic system

被引：81
|
作者：
Quirós, F [1 ]
Rossi, JD
机构：
[1] Univ Autonoma Madrid, Dept Matemat, E-28049 Madrid, Spain
[2] Univ Buenos Aires, Fac Ciencias Exactas & Nat, Dept Matemat, RA-1428 Buenos Aires, DF, Argentina
来源：
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2001年 / 52卷 / 02期
关键词：
blow-up; semilinear parabolic system;
D O I：
10.1007/PL00001549
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we study the possibility of non-simultaneous blow-up for positive solutions of a fully coupled system of two semilinear heat equations, u(t) = Deltau + u(P11)nu (P12), nu (t) = Delta nu + u(P21)nu (P12). Under adequate hypotheses, we prove that if u blows UP then v can fail to blow up if and only if p(11) > 1 and p(21) < p(11) - 1.
引用
收藏
页码：342 / 346
页数：5
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