Holder continuity of semigroups for time changed symmetric stable processes
文献类型：期刊论文
| 作者 | Luo, Dejun1; Wang, Jian2; Luo Dejun
|
| 刊名 | FRONTIERS OF MATHEMATICS IN CHINA
 |
| 出版日期 | 2016-02-01 |
| 卷号 | 11期号:1页码:109-121 |
| 关键词 | Symmetric stable process time-change Holder continuity coupling |
| ISSN号 | 1673-3452 |
| DOI | 10.1007/s11464-015-0501-z |
| 英文摘要 | Let (Z (t) ) (ta (c) 3/40) be a one-dimensional symmetric alpha-stable process with alpha a (0, 2), and let sigma be a bounded (from above and from below) and 1/(alpha a 1)-Holder continuous function on a"e. Consider the stochastic differential equation dX (t) = sigma(X (t-))dZ (t) , which admits a unique strong solution. By using the splitting technique and the coupling method, we derive the Holder continuity of the associated semigroup. |
| 资助项目 | Key Laboratory of Random Complex Structures and Data Sciences, Chinese Academy of Sciences[2008DP173182] ; National Natural Science Foundation of China[11571347] ; National Natural Science Foundation of China[11201073] ; National Natural Science Foundation of China[11522106] ; Academy of Mathematics and Systems Science[Y129161ZZ1] ; National Science Foundation of Fujian Province[2015J01003] ; Program for Nonlinear Analysis and Its Applications[IRTL1206] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000365760000008 |
| 出版者 | HIGHER EDUCATION PRESS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/21376]  |
| 专题 | 应用数学研究所 |
| 通讯作者 | Wang, Jian |
| 作者单位 | 1.Chinese Acad Sci, Inst Appl Math, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Fujian Normal Univ, Sch Math & Comp Sci, Fuzhou 350007, Peoples R China |
| 推荐引用方式 GB/T 7714 | Luo, Dejun,Wang, Jian,Luo Dejun. Holder continuity of semigroups for time changed symmetric stable processes[J]. FRONTIERS OF MATHEMATICS IN CHINA,2016,11(1):109-121. |
| APA | Luo, Dejun,Wang, Jian,&Luo Dejun.(2016).Holder continuity of semigroups for time changed symmetric stable processes.FRONTIERS OF MATHEMATICS IN CHINA,11(1),109-121. |
| MLA | Luo, Dejun,et al."Holder continuity of semigroups for time changed symmetric stable processes".FRONTIERS OF MATHEMATICS IN CHINA 11.1(2016):109-121. |
入库方式： OAI收割
来源：数学与系统科学研究院
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