BLOW-UP FOR A SEMILINEAR HEAT EQUATION WITH MOVING NONLINEAR REACTION

被引：0

作者：

Ferreira, Raul ^{[1
]}

机构：

[1] Univ Complutense Madrid, Dept Matemat Aplicada, E-28040 Madrid, Spain

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2018年

关键词：

Semilinear parabolic equation; blow-up; asymptotic behaviour; GLOBAL-SOLUTIONS; CRITICAL EXPONENTS; DIFFUSION; NONEXISTENCE; EXISTENCE;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the behavior of solutions of the semilinear problem u(t) = u(xx) + (1 + (T - t)(-alpha) chi({vertical bar x vertical bar < (T - t)1/2}))u(p), x is an element of R; t is an element of (0; T), u (x, 0) = u(0)(x) >= 0; x is an element of R; with alpha > 0 and p > 0. We describe, in terms of the parameters when the solution is bounded and when it blows up. For blowing up solutions we find the blow-up rate and the blow-up set.

引用

页数：11

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