Stability of the feller property for non-local operators under bounded perturbations

Yuichi Shiozawa; Toshihiro Uemura

doi:10.3336/gm.45.1.12

Stability of the feller property for non-local operators under bounded perturbations

Yuichi Shiozawa, Toshihiro Uemura

Graduate School of Natural Science and Technology

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

It is known that the Feller property of a semigroup is stable under a bounded perturbation of the infinitesimal generator. Applying this, we derive the Feller property for a class of integro-differential operators including symmetric stable-like processes.

Original language	English
Pages (from-to)	155-172
Number of pages	18
Journal	Glasnik Matematicki
Volume	45
Issue number	1
DOIs	https://doi.org/10.3336/gm.45.1.12
Publication status	Published - May 2010

Keywords

Feller semigroup
Integro-differential operator
Stable-like process
Symmetric dirichlet form of jump-type

ASJC Scopus subject areas

Mathematics(all)

Access to Document

10.3336/gm.45.1.12

Fingerprint Dive into the research topics of 'Stability of the feller property for non-local operators under bounded perturbations'. Together they form a unique fingerprint.

Cite this

@article{70311aed22084325a113c5a6014fdc49,

title = "Stability of the feller property for non-local operators under bounded perturbations",

abstract = "It is known that the Feller property of a semigroup is stable under a bounded perturbation of the infinitesimal generator. Applying this, we derive the Feller property for a class of integro-differential operators including symmetric stable-like processes.",

keywords = "Feller semigroup, Integro-differential operator, Stable-like process, Symmetric dirichlet form of jump-type",

author = "Yuichi Shiozawa and Toshihiro Uemura",

year = "2010",

month = may,

doi = "10.3336/gm.45.1.12",

language = "English",

volume = "45",

pages = "155--172",

journal = "Glasnik Matematicki",

issn = "0017-095X",

publisher = "University of Zagreb",

number = "1",

}

TY - JOUR

T1 - Stability of the feller property for non-local operators under bounded perturbations

AU - Shiozawa, Yuichi

AU - Uemura, Toshihiro

PY - 2010/5

Y1 - 2010/5

N2 - It is known that the Feller property of a semigroup is stable under a bounded perturbation of the infinitesimal generator. Applying this, we derive the Feller property for a class of integro-differential operators including symmetric stable-like processes.

AB - It is known that the Feller property of a semigroup is stable under a bounded perturbation of the infinitesimal generator. Applying this, we derive the Feller property for a class of integro-differential operators including symmetric stable-like processes.

KW - Feller semigroup

KW - Integro-differential operator

KW - Stable-like process

KW - Symmetric dirichlet form of jump-type

UR - http://www.scopus.com/inward/record.url?scp=77954700782&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=77954700782&partnerID=8YFLogxK

U2 - 10.3336/gm.45.1.12

DO - 10.3336/gm.45.1.12

M3 - Article

AN - SCOPUS:77954700782

VL - 45

SP - 155

EP - 172

JO - Glasnik Matematicki

JF - Glasnik Matematicki

SN - 0017-095X

IS - 1

ER -

Stability of the feller property for non-local operators under bounded perturbations

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Cite this