Global \({L}_p\) estimates for kinetic Kolmogorov-Fokker-Planck equations in nondivergence form

DOI10.1007/s00205-022-01786-0zbMath1493.35015arXiv2107.08568OpenAlexW3186295929MaRDI QIDQ2149086

Hongjie Dong, Timur Yastrzhembskiy

Publication date: 28 June 2022

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2107.08568

zbMATH Keywords

Landau equationglobal a priori estimates in weighted mixed-norm Lebesgue spaceskinetic Fokker-Planck equations

Mathematics Subject Classification ID

A priori estimates in context of PDEs (35B45) Ultraparabolic equations, pseudoparabolic equations, etc. (35K70) Second-order parabolic equations (35K10) Fokker-Planck equations (35Q84)

Related Items (7)

Optimal regularity for degenerate Kolmogorov equations in non-divergence form with rough-in-time coefficients ⋮ Sobolev embeddings for kinetic Fokker-Planck equations ⋮ Cauchy problem of stochastic kinetic equations ⋮ Kinetic Schauder estimates with time-irregular coefficients and uniqueness for the Landau equation ⋮ Pointwise and weighted Hessian estimates for Kolmogorov-Fokker-Planck-type operators ⋮ Global \(\boldsymbol{L}_{\boldsymbol{p}}\) Estimates for Kinetic Kolmogorov–Fokker–Planck Equations in Divergence Form ⋮ The Vlasov-Poisson-Landau system with the specular-reflection boundary condition

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