Degenerate stochastic differential equations and super-Markov chains

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Degenerate Diffusion Operators Arising in Population Biology (2011, background): “Various extensions of these results, using a variety of functional analytic frameworks, were made by Athreya, Barlow, Bass Perkins, Sato, Cerrai and Clément, and others, see [1, 4, 5, 6, 7].”
Degenerate stochastic differential equations with Hölder continuous coefficients and super-Markov chains (2002, methodology): “Standard results therefore show the existence of a solution to MP ( L , ν ) for any given law ν if we assume (see Theorem V.23.5 in [RW98] and (c) below, or the proof of Theorem 1.1 in [ABBP01]).”
Harnack Inequalities for Jump Processes (2002, background): “estimates. The argument is rather lengthy, so we do not include it here, but a similar argument is used in [ 1 ].”