Glasnik matematički, Vol. 45 No. 1, 2010.
Original scientific paper
https://doi.org/10.3336/gm.45.1.12
Stability of the Feller property for non-local operators under bounded perturbations
Yuichi Shiozawa
; College of Science and Engineering, Ritsumeikan University, Kusatsu Shiga 525-8577, Japan
Toshihiro Uemura
; School of Business Administration, University of Hyogo, Kobe 651-2197, Japan
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
Integro-differential operator; Feller semigroup; symmetric Dirichlet form of jump-type; stable-like process
Hrčak ID:
52374
URI
Publication date:
17.5.2010.
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