Multiscale asymptotic behavior of a solution of the heat equation on RN

被引：0

作者：

Cazenave, T ^{[1
]}

Dickstein, F

Weissler, FB

机构：

[1] Univ Paris 06, CNRS, UMR 7598, Lab Jacques Louis Lions, BC 187,4,Pl Jussieu, F-75252 Paris 05, France

[2] Univ Fed Rio de Janeiro, Inst Math, 21944-970 Rio De Janeiro, Brazil

[3] Univ Paris 13, Inst Galilee, LAGA UMR CNRS 7539, 93430 Villetaneuse, France

来源：

CONTRIBUTIONS TO NONLINEAR ANALYSIS: A TRIBUTE TO D. G. DE FIGUEIREDO ON THE OCCASION OF HIS 70TH BIRTHDAY | 2006年 / 66卷

关键词：

heat equation; asymptotic behavior; decay rate;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we construct solutions e(t Delta)u of the heat equation on R-N, where u is an element of C-0(R-N), which have nontrivial asymptotic properties on different time scales. More precisely, for all 0 < a < N, we consider the set w(sigma)(u) of limit points in C-0(R-N) as t -> infinity of t(sigma/2) e(t Delta)u(x root t). In particular we show that, given an arbitrary countable set S subset of (0, N), there exists u is an element of C-0 (R-N) such that w(sigma)(u) = C-0(R-N) whenever sigma is an element of S.

引用

页码：185 / +

页数：2