20 citations · 62 across the 13 of their papers we have counts for
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Optimal Schauder estimates for kinetic Kolmogorov equations with time measurable coefficients
Giacomo Lucertini, Stefano Pagliarani, Andrea Pascucci
We prove global Schauder estimates for kinetic Kolmogorov equations with coefficients that are Hölder continuous in the spatial variables but only measurable in time. Compared to o…
Optimal regularity for degenerate Kolmogorov equations with rough coefficients
Giacomo Lucertini, Stefano Pagliarani, Andrea Pascucci
We consider a class of degenerate equations satisfying a parabolic Hörmander condition, with coefficients that are measurable in time and Hölder continuous in the space variables.…
Intrinsic Taylor formula for non-homogeneous Kolmogorov-type Lie groups
Stefano Pagliarani, Michele Pignotti
We prove an intrinsic Taylor-like formula for a class of Lie groups arising in the study of some sub-elliptic differential operators, namely the Kolmogorov operators. The estimate…
Intrinsic Taylor formula for Kolmogorov-type homogeneous groups
Stefano Pagliarani, Andrea Pascucci, Michele Pignotti
We consider a class of ultra-parabolic Kolmogorov-type operators satisfying the Hormander's condition. We prove an intrinsic Taylor formula with global and local bounds for the rem…
Analytical expansions for parabolic equations
Matthew Lorig, Stefano Pagliarani, Andrea Pascucci
We consider the Cauchy problem associated with a general parabolic partial differential equation in dimensions. We find a family of closed-form asymptotic approximations for th…