Treffer: Bounded perturbations of two-dimensional diffusion processes with nonlocal conditions near the boundary
Title:
Bounded perturbations of two-dimensional diffusion processes with nonlocal conditions near the boundary
Authors:
Source:
Mathematical Notes
Publication Year:
2020
Collection:
NORA (National aggregator of open repositories of Russian universities) / Национальный агрегатор открытых репозиториев российских университетов
Subject Terms:
Document Type:
Fachzeitschrift
article in journal/newspaper
Language:
English
Availability:
Rights:
open access
Accession Number:
edsbas.7F152516
Database:
BASE
Weitere Informationen
We study the existence of Feller semigroups arising in the theory of multidimensional diffusion processes. We study bounded perturbations of elliptic operators with boundary conditions containing an integral over the closure of the domain with respect to a nonnegative Borel measure without assuming that the measure is small. We state sufficient conditions on the measure guaranteeing that the corresponding nonlocal operator is the generator of a Feller semigroup. © 2008 Pleiades Publishing, Ltd.