Complicated Asymptotic Behavior of Solutions for Heat Equation in Some Weighted Space

被引：1

作者：

Wang, Liangwei ^{[1
]}

Yin, Jingxue ^{[2
]}

机构：

[1] Chongqing Three Gorges Univ, Sch Math & Stat, Wanzhou 404000, Peoples R China

[2] S China Normal Univ, Sch Math Sci, Guangzhou 510631, Guangdong, Peoples R China

来源：

ABSTRACT AND APPLIED ANALYSIS | 2012年

基金：

高等学校博士学科点专项科研基金; 中国国家自然科学基金;

关键词：

LARGE TIME BEHAVIOR; POROUS-MEDIUM EQUATION; UNIVERSAL SOLUTIONS; COMPLEXITY;

D O I：

10.1155/2012/463082

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate the asymptotic behavior of solutions for the heat equation in the weighted space Y-0(sigma)(R-N) equivalent to {phi is an element of C(R-N) : lim(vertical bar x vertical bar -> 8)(1 + vertical bar x vertical bar(2))(sigma/2)phi(x) = 0}. Exactly, we find that the unbounded function space Y-0(sigma)(R-N) with 0 < sigma < N can provide a setting where complexity occurs in the asymptotic behavior of solutions for the heat equation.

引用

页数：15

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