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math.AP2022★ 1 cited
Sobolev embeddings for kinetic Fokker-Planck equations
Andrea Pascucci, Antonello Pesce
We introduce intrinsic Sobolev-Slobodeckij spaces for a class of ultra-parabolic Kolmogorov type operators satisfying the weak Hörmander condition. We prove continuous embeddings i…
math.AP2022★ 5 cited
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.…