KMS Of Academy of mathematics and systems sciences, CAS
COUPLING BY REFLECTION AND HOLDER REGULARITY FOR NON-LOCAL OPERATORS OF VARIABLE ORDER | |
Luo, Dejun1,2; Wang, Jian3,4 | |
2019 | |
发表期刊 | TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY |
ISSN | 0002-9947 |
卷号 | 371期号:1页码:431-459 |
摘要 | We consider the non-local operator of variable order as follows: Lf(x) = integral(Rd\{0}) (f(x+z) - f(x) - del f(x), z 1{vertical bar z vertical bar <= 1})n(x,z)/vertical bar z vertical bar(d+alpha(x)) dz, where alpha(x) is an element of [alpha(0), alpha(2)] for any x is an element of R-d and some constants 0 < alpha(0) <= alpha(2) < 2 and n(x, z) is a positive Borel measurable function bounded from above and below. Under mild continuity conditions on alpha(x) and n(x, z), we establish the Holder regularity for the associated semigroups. The proof is based on a new construction of the coupling by reflection for non-local operator L, and the results successfully apply to both stable-like processes in the sense of Bass and time-change of symmetric stable processes. |
关键词 | Stable-like process non-local operator Holder continuity coupling by reflection jump process |
DOI | 10.1090/tran/7259 |
语种 | 英语 |
资助项目 | National Natural Science Foundation of China[11431014] ; National Natural Science Foundation of China[11571347] ; National Natural Science Foundation of China[11522106] ; Youth Innovation Promotion Association CAS[2017003] ; Special Talent Program of the Academy of Mathematics and Systems Science, Chinese Academy of Sciences ; Fok Ying Tung Education Foundation[151002] ; National Science Foundation of Fujian Province[2015J01003] ; Program for Probability and Statistics: Theory and Application[IRTL1704] |
WOS研究方向 | Mathematics |
WOS类目 | Mathematics |
WOS记录号 | WOS:000452652400015 |
出版者 | AMER MATHEMATICAL SOC |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/31837 |
专题 | 应用数学研究所 |
通讯作者 | Luo, Dejun |
作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, Key Lab Random Complex Struct & Data Sci, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 3.Fujian Normal Univ, Coll Math & Informat, Fuzhou 350007, Fujian, Peoples R China 4.Fujian Normal Univ, Fujian Key Lab Math Anal & Applicat FJKLMAA, Fuzhou 350007, Fujian, Peoples R China |
推荐引用方式 GB/T 7714 | Luo, Dejun,Wang, Jian. COUPLING BY REFLECTION AND HOLDER REGULARITY FOR NON-LOCAL OPERATORS OF VARIABLE ORDER[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY,2019,371(1):431-459. |
APA | Luo, Dejun,&Wang, Jian.(2019).COUPLING BY REFLECTION AND HOLDER REGULARITY FOR NON-LOCAL OPERATORS OF VARIABLE ORDER.TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY,371(1),431-459. |
MLA | Luo, Dejun,et al."COUPLING BY REFLECTION AND HOLDER REGULARITY FOR NON-LOCAL OPERATORS OF VARIABLE ORDER".TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY 371.1(2019):431-459. |
条目包含的文件 | 条目无相关文件。 |
个性服务 |
推荐该条目 |
保存到收藏夹 |
查看访问统计 |
导出为Endnote文件 |
谷歌学术 |
谷歌学术中相似的文章 |
[Luo, Dejun]的文章 |
[Wang, Jian]的文章 |
百度学术 |
百度学术中相似的文章 |
[Luo, Dejun]的文章 |
[Wang, Jian]的文章 |
必应学术 |
必应学术中相似的文章 |
[Luo, Dejun]的文章 |
[Wang, Jian]的文章 |
相关权益政策 |
暂无数据 |
收藏/分享 |
除非特别说明,本系统中所有内容都受版权保护,并保留所有权利。
修改评论