Strong solutions to the nonlinear heat equation in homogeneous Besov spaces

doi:10.1016/j.na.2006.07.020

CSpace > 应用数学研究所

	Strong solutions to the nonlinear heat equation in homogeneous Besov spaces
	Miao, Changxing ; Yuan, Baoquan ; Zhang, Bo
	2007-09-01
发表期刊	NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
ISSN	0362-546X
卷号	67 期号:5 页码:1329-1343
摘要	In this paper we study the Cauchy problem of the nonlinear heat equation in homogeneous Besov spaces B-p,r(s)(R-n) with s < 0.The nonlinear estimate is established by means of the Littlewood-Paley trichotomy and is used to prove the global well-posedness of solutions for small initial data in the homogeneous Besov space B-p,r(s) (R-n) with s = n/p - 2/b < 0. In particular, when r = infinity and the initial data phi satisfies that lambda 2/b phi(lambda x) = phi(x) for any lambda > 0, our result leads to the existence of global self-similar solutions to the problem. (c) 2006 Elsevier Ltd. All rights reserved.
关键词	nonlinear heat equation well-posedness Littlewood-Paley trichotomy Besov spaces
DOI	10.1016/j.na.2006.07.020
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000247105700003
出版者	PERGAMON-ELSEVIER SCIENCE LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/4379
专题	应用数学研究所
通讯作者	Miao, Changxing
作者单位	1.Inst Appl Phys & Computat Math, Beijing 100088, Peoples R China 2.Henan Polytech Univ, Coll Math & Informat, Jiaozuo City 454000, Henan Province, Peoples R China 3.Chinese Acad Sci, Inst Appl Math, Acad Math & Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Miao, Changxing,Yuan, Baoquan,Zhang, Bo. Strong solutions to the nonlinear heat equation in homogeneous Besov spaces[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,2007,67(5):1329-1343.
APA	Miao, Changxing,Yuan, Baoquan,&Zhang, Bo.(2007).Strong solutions to the nonlinear heat equation in homogeneous Besov spaces.NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,67(5),1329-1343.
MLA	Miao, Changxing,et al."Strong solutions to the nonlinear heat equation in homogeneous Besov spaces".NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 67.5(2007):1329-1343.