Lipschitzian norm estimate of one-dimensional Poisson equations and applications
文献类型：期刊论文
| 作者 | Djellout, Hacene1; Wu, Liming1,2 |
| 刊名 | ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES
 |
| 出版日期 | 2011-05-01 |
| 卷号 | 47期号:2页码:450-465 |
| 关键词 | Poisson equations Transportation-information inequalities Concentration and isoperimetric inequalities |
| ISSN号 | 0246-0203 |
| DOI | 10.1214/10-AIHP360 |
| 英文摘要 | By direct calculus we identify explicitly the Lipschitzian norm of the solution of the Poisson equation - LG = g in terms of various norms of g, where L is a Sturm-Liouville operator or generator of a non-singular diffusion in an interval. This allows us to obtain the best constant in the L(1)-Poincare inequality (a little stronger than the Cheeger isoperimetric inequality) and some sharp transportation information inequalities and concentration inequalities for empirical means. We conclude with several illustrative examples. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000289654500006 |
| 出版者 | INST MATHEMATICAL STATISTICS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/12410]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Djellout, Hacene |
| 作者单位 | 1.Univ Clermont Ferrand, CNRS, Math Lab, UMR 6620, F-63177 Clermont Ferrand, France 2.Acad China, Inst Appl Math, Beijing, Peoples R China |
| 推荐引用方式 GB/T 7714 | Djellout, Hacene,Wu, Liming. Lipschitzian norm estimate of one-dimensional Poisson equations and applications[J]. ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES,2011,47(2):450-465. |
| APA | Djellout, Hacene,&Wu, Liming.(2011).Lipschitzian norm estimate of one-dimensional Poisson equations and applications.ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES,47(2),450-465. |
| MLA | Djellout, Hacene,et al."Lipschitzian norm estimate of one-dimensional Poisson equations and applications".ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES 47.2(2011):450-465. |
入库方式： OAI收割
来源：数学与系统科学研究院
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