On a Degenerate Parabolic Problem in Holder Spaces | |
Berroug T; Ding H(丁桦); Labbas R; Sadallah BK | |
刊名 | Applied Mathematics and Computation |
2005 | |
通讯作者邮箱 | labbas@univ-lehavre.fr |
卷号 | 162期号:2页码:811-833 |
ISSN号 | 0096-3003 |
通讯作者 | Labbas, R (reprint author), Univ Havre, Math Lab, LMAH, FST,BP 540,25 Rue Philippe Lebon, F-76058 Le Havre, France. |
中文摘要 | In this paper, we study some degenerate parabolic equation with Cauchy-Dirichlet boundary conditions. This problem is considered in little Holder spaces. The optimal regularity of the solution v is obtained and is specified in terms of those of the second member when some conditions upon the Holder exponent with respect to the degeneracy are satisfied. The proofs mainly use the sum theory of linear operators with or without density of domains and the results of smoothness obtained in the study of some abstract linear differential equations of elliptic type. |
学科主题 | 力学 |
类目[WOS] | Mathematics, Applied |
研究领域[WOS] | Mathematics |
关键词[WOS] | LINEAR-OPERATORS ; EQUATIONS |
收录类别 | SCI ; EI |
语种 | 英语 |
WOS记录号 | WOS:000226860000020 |
公开日期 | 2007-06-15 ; 2007-12-05 ; 2009-06-23 |
内容类型 | 期刊论文 |
源URL | [http://dspace.imech.ac.cn/handle/311007/17618] |
专题 | 力学研究所_力学所知识产出(1956-2008) |
推荐引用方式 GB/T 7714 | Berroug T,Ding H,Labbas R,et al. On a Degenerate Parabolic Problem in Holder Spaces[J]. Applied Mathematics and Computation,2005,162(2):811-833. |
APA | Berroug T,丁桦,Labbas R,&Sadallah BK.(2005).On a Degenerate Parabolic Problem in Holder Spaces.Applied Mathematics and Computation,162(2),811-833. |
MLA | Berroug T,et al."On a Degenerate Parabolic Problem in Holder Spaces".Applied Mathematics and Computation 162.2(2005):811-833. |
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