Abstract
Second order elliptic integro-differential operators (Lévy type operators) are investigated. The notion of regular (infinitesimal) invariant probability measures for such operators is posed. Sufficient conditions for the existence of such regular infinitesimal invariant probability measures are obtained and the symmetrization problem is discussed.
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Albeverio, S., Rüdiger, B. & Wu, JL. Invariant Measures and Symmetry Property of Lévy Type Operators. Potential Analysis 13, 147–168 (2000). https://doi.org/10.1023/A:1008705820024
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DOI: https://doi.org/10.1023/A:1008705820024