Well-posedness of the Cauchy problem for the fractional power dissipative equations

doi:10.1016/j.na.2006.11.011

CSpace > 应用数学研究所

	Well-posedness of the Cauchy problem for the fractional power dissipative equations
	Miao, Changxing 1; Yuan, Baoquan 2,3; Zhang, Bo2,4
	2008-02-01
发表期刊	NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
ISSN	0362-546X
卷号	68 期号:3 页码:461-484
摘要	This paper studies the Cauchy problem for the nonlinear fractional power dissipative equation u(t) + (-Delta)(alpha)u = F(u) for initial data in the Lebesgue space L-r(R-n) with either r >= r(d) (Delta) double under bar nb/(2 alpha - d) or the homogeneous Besov space <(B)over dot>(-sigma)(p.infinity) (R-n) with sigma = (2 alpha - d)/b - n/p and 1 <= p <= infinity, where alpha > 0, F(u) = f (u) or Q(D)f (u) with Q(D) being a homogeneous pseudo-differential operator of order d is an element of [0, 2 alpha) and f (u) is a function of u which behaves like vertical bar u vertical bar(b)u, with b > 0. (c) 2007 Elsevier Ltd. All rights reserved.
关键词	fractional power dissipative equation Cauchy problem well-posedness space-time estimates Besov spaces
DOI	10.1016/j.na.2006.11.011
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000251814400001
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/6467
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 1000888, Peoples R China 2.Chinese Acad Sci, Inst Appl Math, Acad Math & Syst Sci, Beijing 100080, Peoples R China 3.Henan Polytech Univ, Coll Math & Informat, Jiaozuo City 454000, Henan Province, Peoples R China 4.Coventry Univ, Dept Math Sci, Coventry CV1 5FB, W Midlands, England
推荐引用方式 GB/T 7714	Miao, Changxing,Yuan, Baoquan,Zhang, Bo. Well-posedness of the Cauchy problem for the fractional power dissipative equations[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,2008,68(3):461-484.
APA	Miao, Changxing,Yuan, Baoquan,&Zhang, Bo.(2008).Well-posedness of the Cauchy problem for the fractional power dissipative equations.NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,68(3),461-484.
MLA	Miao, Changxing,et al."Well-posedness of the Cauchy problem for the fractional power dissipative equations".NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 68.3(2008):461-484.