Proves fractional Sobolev regularity W^{β,r}_loc for velocity averages in kinetic equations with x-dependent drift satisfying quantitative non-degeneracy, extending prior homogeneous results.
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Proves L^1_loc compactness of velocity averages for kinetic equations with irregular L^q drifts under 1/p + 1/q <1 using H-distributions instead of H-measures.
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Regularity of velocity averages in kinetic equations with heterogeneity
Proves fractional Sobolev regularity W^{β,r}_loc for velocity averages in kinetic equations with x-dependent drift satisfying quantitative non-degeneracy, extending prior homogeneous results.
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Velocity averaging under minimal conditions for deterministic and stochastic kinetic equations with irregular drift
Proves L^1_loc compactness of velocity averages for kinetic equations with irregular L^q drifts under 1/p + 1/q <1 using H-distributions instead of H-measures.