BESOV SPACES AND SELF-SIMILAR SOLUTIONS FOR NONLINEAR EVOLUTION EQUATIONS

被引：0

作者：

Miao Changxing ^{[1
]}

Zhang Bo ^{[2
,3
]}

机构：

[1] Inst Appl Phys & Computat Math, POB 8009, Beijing 100088, Peoples R China

[2] Chinese Acad Sci, Inst Appl Math, Beijing 100080, Peoples R China

[3] Coventry Univ, Sch MIS, Coventry CV1 5FB, W Midlands, England

来源：

JOURNAL OF PARTIAL DIFFERENTIAL EQUATIONS | 2006年 / 19卷 / 01期

关键词：

Strichartz estimates; admissible triplet; self-similar solution; Besov spaces; evolution equations; well-posedness;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we establish the existence of global self-similar solutions for the heat and convection-diffusion equations. This we do in some homogeneous Besov spaces using the theory of Besov spaces and the Strichartz estimates. Further, the structure of the self-similar solutions has also been established by using an equivalent norm for Besov spaces.

引用

页码：26 / 47

页数：22

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