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The Lévy–Khintchine type operators with variable Lipschitz continuous coefficients generate linear or nonlinear Markov processes and semigroups
Kolokoltsov, V. N. (Vasiliĭ Nikitich).  Probability Theory and Related Fields.  v. Vol.151. no. No.1-2.   2011. p. 95 - 123... issn: 0178-8051 .   

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