Nonparabolic asymptotic limits of solutions of the heat equation on RN

被引：0

作者：

Cazenave, Thierry

Dickstein, Flavio

Weissler, Fred B.

机构：

[1] Univ Paris 13, CNRS, LAGA, UMR 7539, F-93430 Villetaneuse, France

[2] Univ Paris 06, Lab Jacques Louis Lions, CNRS, UMR 7598, F-75252 Paris 05, France

[3] Univ Fed Rio de Janeiro, Inst Matemat, BR-21944970 Rio De Janeiro, Brazil

来源：

JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS | 2007年 / 19卷 / 03期

关键词：

heat equation; asymptotic behavior; resealing;

D O I：

10.1007/s10884-007-9076-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we construct solutions u(t,x) of the heat equation on R-N such that t (u/2) u(t, xt(beta)) has nontrivial limit points in C-0(R-N) as t -> infinity for certain values of mu > 0 and beta > 1/2. We also show the existence of solutions of this type for nonlinear heat equations.

引用

页码：789 / 818

页数：30

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