Kinetic maximal \(L^p\)-regularity with temporal weights and application to quasilinear kinetic diffusion equations

DOI10.1016/j.jde.2021.10.043zbMath1478.35066arXiv2012.07768OpenAlexW3212592690MaRDI QIDQ2051736

Lukas Niebel, Rico Zacher

Publication date: 25 November 2021

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

Full work available at URL: https://arxiv.org/abs/2012.07768

zbMATH Keywords

Kolmogorov equationanisotropic Besov spacesshort-time existenceinstantaneous smoothingquasilinear kinetic equations

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Degenerate parabolic equations (35K65) Initial value problems for second-order parabolic equations (35K15) Quasilinear parabolic equations (35K59)

Related Items (6)

Global \({L}_p\) estimates for kinetic Kolmogorov-Fokker-Planck equations in nondivergence form ⋮ Linear and quasilinear evolution equations in the context of weighted \(L_p\)-spaces ⋮ Kinetic Schauder estimates with time-irregular coefficients and uniqueness for the Landau equation ⋮ Global \(\boldsymbol{L}_{\boldsymbol{p}}\) Estimates for Kinetic Kolmogorov–Fokker–Planck Equations in Divergence Form ⋮ Kinetic maximal \(L^2\)-regularity for the (fractional) Kolmogorov equation ⋮ Kinetic Fokker-Planck and Landau equations with specular reflection boundary condition

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