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)

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10.3336/gm.45.1.12

Cite this

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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.",

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KW - Stable-like process

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

Abstract

Keywords

ASJC Scopus subject areas

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