컨텐츠 시작
학술대회/행사
초록검색
| 제출번호(No.) | 0310 |
|---|---|
| 분류(Section) | Invited Talk |
| 분과(Session) | Probability / Stochastic Process / Statistics (SS-12) |
| 영문제목 (Title(Eng.)) |
On potential theory of subordinate Brownian motion in unbounded sets |
| 저자(Author(s)) |
Panki Kim1 Seoul National University1 |
| 초록본문(Abstract) | Many aspects of potential theory, such as the Green function estimates, boundary Harnack principle and Martin boundary identification, are known for rather wide classes of subordinate Brownian motion in bounded open sets. On the other hand, except for a few particular examples of Levy processes, much less is known in case of unbounded open sets. In this talk I will discuss some potential theoretic problems for subordinate Brownian motion in unbounded open sets. This talk is based on the following two joint works with Renming Song and Zoran Vondracek: 1. Global uniform boundary Harnack principle with explicit decay rate and its application http://arxiv.org/abs/1212.3092 2. Boundary Harnack principle and Martin boundary at infinity for subordinate Brownian motions http://arxiv.org/abs/1212.3094 |
| 분류기호 (MSC number(s)) |
60J45 |
| 키워드(Keyword(s)) | L\'evy processes, subordinate Brownian motions, harmonic functions, boundary Harnack principle, Poisson kernel, Martin kernel, Martin boundary, heat kernel, Green function |
| 강연 형태 (Language of Session (Talk)) |
English |