Blow-up with logarithmic nonlinearities

被引：5

作者：

Ferreira, Raul

de Pablo, Arturo ^{[1
]}

Rossi, Julio D.

机构：

[1] Univ Carlos III Madrid, Dept Matemat, E-28911 Madrid, Spain

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

[3] Univ Buenos Aires, Dept Matemat, FCEyN, RA-1428 Buenos Aires, DF, Argentina

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2007年 / 240卷 / 01期

关键词：

blow-up; asymptotic behaviour; nonlinear boundary conditions;

D O I：

10.1016/j.jde.2007.05.004

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the asymptotic behaviour of nonnegative solutions of the nonlinear diffusion equation in the half-line with a nonlinear boundary condition, [GRAPHICS] with p, q,lambda > 0. We describe in terms of p, q and lambda when the solution is global in time and when it blows up in finite time. For blow-up solutions we find the blow-up rate and the blow-up set and we describe the asymptotic behaviour close to the blow-up time, showing that a phenomenon of asymptotic simplification takes place. We finally study the appearance of extinction in finite time. (c) 2007 Elsevier Inc. All rights reserved.

引用

页码：196 / 215

页数：20

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