| Title | Well-posedness of the martingale problem for super-Brownian motion with interactive branching |
| Author | |
| Corresponding Author | Yang，Xu |
| Publication Years | 2023-09-01
|
| DOI | |
| Source Title | |
| ISSN | 0304-4149
|
| EISSN | 1879-209X
|
| Volume | 163Pages:288-322 |
| Abstract | In this paper a martingale problem for super-Brownian motion with interactive branching is derived. The uniqueness of the solution to the martingale problem is obtained by using the pathwise uniqueness of the solution to a corresponding system of SPDEs with proper boundary conditions. The existence of the solution to the martingale problem and the local Hölder continuity of the density process are also studied. |
| Keywords | |
| URL | [Source Record] |
| Indexed By | |
| Language | English
|
| SUSTech Authorship | Others
|
| Funding Project | National Natural Science Foundation of China[11831010];National Natural Science Foundation of China[12061004];National Natural Science Foundation of China[12271029];Basic and Applied Basic Research Foundation of Guangdong Province[2022A1515110986];
|
| WOS Research Area | Mathematics
|
| WOS Subject | Statistics & Probability
|
| WOS Accession No | WOS:001035548200001
|
| Publisher | |
| ESI Research Field | MATHEMATICS
|
| Scopus EID | 2-s2.0-85163965425
|
| Data Source | Scopus
|
| Citation statistics |
Cited Times [WOS]:0
|
| Document Type | Journal Article |
| Identifier | http://kc.sustech.edu.cn/handle/2SGJ60CL/559689 |
| Department | Department of Mathematics 深圳国家应用数学中心 |
| Affiliation | 1.Faculty of Computational Mathematics and Cybernetics,Shenzhen MSU-BIT University,Shenzhen,China 2.Department of Mathematics and National Center for Applied Mathematics (Shenzhen),Southern University of Science and Technology,Shenzhen,China 3.School of Mathematics and Information Science,North Minzu University,Yinchuan,China |
| Recommended Citation GB/T 7714 |
Ji，Lina,Xiong，Jie,Yang，Xu. Well-posedness of the martingale problem for super-Brownian motion with interactive branching[J]. Stochastic Processes and their Applications,2023,163:288-322.
|
| APA |
Ji，Lina,Xiong，Jie,&Yang，Xu.(2023).Well-posedness of the martingale problem for super-Brownian motion with interactive branching.Stochastic Processes and their Applications,163,288-322.
|
| MLA |
Ji，Lina,et al."Well-posedness of the martingale problem for super-Brownian motion with interactive branching".Stochastic Processes and their Applications 163(2023):288-322.
|
| Files in This Item: | There are no files associated with this item. | |||||
Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.
Edit Comment