Naslov
On potential theory of subordinate killed processes

Autori
Vondraček, Zoran

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni

Izvornik
Probability and Analysis 2017 / - , 2017, 1-1

Skup
Probability and Analysis 2017

Mjesto i datum
Będlewo, Poljska, 15-19.05.2017

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
killed Brownian motion

Sažetak
Let W D be a killed Brownian motion in a domain D ⊂ Rd and S an independent subordinator with Laplace exponent φ. The process Y D defined by Y D t = W D St is called a subordinate killed Brownian motion. It is a Hunt process with infinitesimal generator φ(−∆|D), where ∆|D is the Dirichlet Laplacian. In this talk I will present several potential-theoretic results for Y D under a weak scaling condition on the derivative of φ. These results include the scale invariant Harnack inequality for non-negative harmonic functions of Y D, sharp estimates of the Green function and the jumping kernel, and a scale invariant boundary Harnack principles with explicit decay rates. I will also discuss same questions in case when the killed Brownian motion is replaced by a killed subordinate Brownian motion satisfying certain scaling conditions. (Joint work with P.Kim and R.Song)

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA