Pregled bibliografske jedinice broj: 1105020
Estimates of Dirichlet heat kernels for subordinate Brownian motions
Estimates of Dirichlet heat kernels for subordinate Brownian motions // Electronic journal of probability, 23 (2018), 64, 45 doi:10.1214/18-EJP190 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 1105020 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Estimates of Dirichlet heat kernels for subordinate Brownian motions
Autori
Kim, Panki ; Mimica, Ante
Izvornik
Electronic journal of probability (1083-6489) 23
(2018);
64, 45
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Dirichlet heat kernel ; transition density ; Laplace exponent ; Levy measure ; subordinator ; subordinate Brownian motion
Sažetak
In this paper, we discuss estimates of transition densities of subordinate Brownian motions in open subsets of Euclidean space. When D is a C-1, C-1 domain, we establish sharp two-sided estimates for the transition densities of a large class of subordinate Brownian motions in D whose scaling order is not necessarily strictly below 2. Our estimates are explicit and written in terms of the dimension, the Euclidean distance between two points, the distance to the boundary and the Laplace exponent of the corresponding subordinator only.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Prirodoslovno-matematički fakultet, Zagreb
Profili:
Ante Mimica
(autor)
Citiraj ovu publikaciju:
Časopis indeksira:
- Current Contents Connect (CCC)
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
