Pith. sign in

REVIEW 1 cited by

H\"{o}lder regularity for hypoelliptic kinetic equations with rough diffusion coefficients

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 1506.01908 v2 pith:ZTSICSC7 submitted 2015-06-05 math.AP

François Golse , Alexis Vasseur This is my paper · ORCID
classification math.AP
keywords regularityaveragingclassicaleffectequationhypoelliptickineticlder
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
read the original abstract

This paper is dedicated to the application of the DeGiorgi-Nash-Moser regularity theory to the kinetic Fokker-Planck equation. This equation is hypoelliptic. It is parabolic only in the velocity variable, while the Liouville transport operator has a mixing effect in the position/velocity phase space. The mixing effect is incorporated in the classical DeGiorgi method via the averaging lemmas. The result can be seen as a H\"{o}lder regularity version of the classical averaging lemmas.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Quantitative positivity of transition densities for random perturbations of Hamiltonian systems

    math.PR 2025-09 conditional novelty 7.0 of 10

    For Hamiltonian systems with small random perturbations, transition densities have uniform positive lower bounds on energy sublevel sets at the slow equilibration time scale.

Pith tools