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On a Degenerate Parabolic Problem in Holder Spaces | |
Berroug T; Ding H(丁桦); Labbas R; Sadallah BK; Labbas, R (reprint author), Univ Havre, Math Lab, LMAH, FST,BP 540,25 Rue Philippe Lebon, F-76058 Le Havre, France. | |
发表期刊 | Applied Mathematics and Computation |
2005 | |
卷号 | 162期号:2页码:811-833 |
ISSN | 0096-3003 |
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. |
学科领域 | 力学 |
DOI | 10.1016/j.amc.2002.11.001 |
收录类别 | SCI ; EI |
语种 | 英语 |
WOS记录号 | WOS:000226860000020 |
关键词[WOS] | LINEAR-OPERATORS ; EQUATIONS |
WOS研究方向 | Mathematics |
WOS类目 | Mathematics, Applied |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://dspace.imech.ac.cn/handle/311007/17618 |
专题 | 力学所知识产出(1956-2008) |
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. |
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,&Labbas, R .(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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