Well-posedness of the Cauchy problem for the fractional power dissipative equations
文献类型：期刊论文
| 作者 | Miao, Changxing1; Yuan, Baoquan2,3; Zhang, Bo2,4
|
| 刊名 | NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
 |
| 出版日期 | 2008-02-01 |
| 卷号 | 68期号:3页码:461-484 |
| 关键词 | fractional power dissipative equation Cauchy problem well-posedness space-time estimates Besov spaces |
| ISSN号 | 0362-546X |
| DOI | 10.1016/j.na.2006.11.011 |
| 英文摘要 | 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. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000251814400001 |
| 出版者 | PERGAMON-ELSEVIER SCIENCE LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/6466]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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