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:
Contributors:
The Pennsylvania State University CiteSeerX Archives
Publication Year:
2007
Collection:
CiteSeerX
Subject Terms:
Document Type:
Fachzeitschrift
text
File Description:
application/pdf
Language:
English
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Metadata may be used without restrictions as long as the oai identifier remains attached to it.
Accession Number:
edsbas.5DA24B53
Database:
BASE
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—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. DOI:10.1134/S0001434608010197