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

Yuichi Shiozawa, Toshihiro Uemura

Research output: Contribution to journal › Article

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 languageEnglish
Pages (from-to)155-172
Number of pages18
JournalGlasnik Matematicki
Volume45
Issue number1
DOIs
Publication statusPublished - May 2010

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Integro-differential Operators
Perturbation
Infinitesimal Generator
Operator
Semigroup
Class

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

Shiozawa, Y & Uemura, T 2010, 'Stability of the feller property for non-local operators under bounded perturbations', Glasnik Matematicki, vol. 45, no. 1, pp. 155-172. https://doi.org/10.3336/gm.45.1.12
Shiozawa Y, Uemura T. Stability of the feller property for non-local operators under bounded perturbations. Glasnik Matematicki. 2010 May;45(1):155-172. https://doi.org/10.3336/gm.45.1.12
Shiozawa, Yuichi ; Uemura, Toshihiro. / Stability of the feller property for non-local operators under bounded perturbations. In: Glasnik Matematicki. 2010 ; Vol. 45, No. 1. pp. 155-172.
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