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 |
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Pages (from-to) | 155-172 |
Number of pages | 18 |
Journal | Glasnik Matematicki |
Volume | 45 |
Issue number | 1 |
DOIs | |
Publication status | Published - May 2010 |
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Keywords
- Feller semigroup
- Integro-differential operator
- Stable-like process
- Symmetric dirichlet form of jump-type
ASJC Scopus subject areas
- Mathematics(all)
Cite this
Stability of the feller property for non-local operators under bounded perturbations. / Shiozawa, Yuichi; Uemura, Toshihiro.
In: Glasnik Matematicki, Vol. 45, No. 1, 05.2010, p. 155-172.Research output: Contribution to journal › Article
}
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 -