Analytical Methods for Markov Semigroups

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Quasilimiting behavior for one-dimensional diffusions with killing (2010, background): “Let us recall the usual Feller classification [see, e.g., Chapter 3 in Lorenzi and Bertoldi (2007)] of boundary points for diffusion generators −12 d 2 dx2 − b(x) d dx in an open interval (0, r).”
Null-controllability of hypoelliptic quadratic differential equations (2016, unknown): “These degenerate operators have been studied in the recent works [7, 19, 20, 34, 38, 40, 45].”
Elliptic and parabolic equations for measures (2009, background): “Properties of diffusion semigroups in L-spaces with respect to invariant measures and related problems for elliptic operators are studied in [66], [81], [122], [131].”
Flow of diffeomorphisms for SDEs with unbounded H (2009, background): “Let us define Γ = {δ ∈ [0, 1] : eq.”
Continuity and equicontinuity of semigroups on norming dual pairs (2009, methodology): “ion in Theorem 4.4 that T is an integrable semigroup is only needed for the equivalence (4) ⇔ (5). Theorem 4.4 can be used to establish that a given transition semigroup on Cb(E) is β0-continuous. In [2], transition semigroups are constructed from the solutions of parabolic partial diﬀerential equat”
Estimates of the derivatives for parabolic operators with unbounded coefficients (2005, result): “Moreover, the following property holds: We refer the reader to [3, 8, 13] for the proofs of the previous results.”