A note on the weak regularity theory for degenerate Kolmogorov equations

DOI10.1016/j.jde.2022.09.024zbMath1505.35061arXiv2107.04441OpenAlexW3179815170MaRDI QIDQ2109373

Annalaura Rebucci, Francesca Anceschi

Publication date: 21 December 2022

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2107.04441

zbMATH Keywords

Harnack inequalityHölder regularityKolmogorov equationweak Poincaré inequalityultraparabolic equationweak regularity theory

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) A priori estimates in context of PDEs (35B45) Ultraparabolic equations, pseudoparabolic equations, etc. (35K70) Subelliptic equations (35H20) Positive solutions to PDEs (35B09) Fokker-Planck equations (35Q84)

Related Items (6)

Optimal regularity for degenerate Kolmogorov equations in non-divergence form with rough-in-time coefficients ⋮ \(C^\alpha\) regularity of weak solutions of non-homogeneous ultraparabolic equations with drift terms ⋮ On the fundamental solution for degenerate Kolmogorov equations with rough coefficients ⋮ On regularity and existence of weak solutions to nonlinear Kolmogorov-Fokker-Planck type equations with rough coefficients ⋮ Global \(\boldsymbol{L}_{\boldsymbol{p}}\) Estimates for Kinetic Kolmogorov–Fokker–Planck Equations in Divergence Form ⋮ Unnamed Item

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