\(L^p\) compactness of inhomogeneous kinetic equation with rough force

DOI10.1016/j.na.2013.04.003zbMath1282.35254OpenAlexW1988186428MaRDI QIDQ393211

Cong He

Publication date: 16 January 2014

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2013.04.003

zbMATH Keywords

Fourier multiplierphase space analysis

Mathematics Subject Classification ID

PDEs of mixed type (35M10) Boltzmann equations (35Q20)

Cites Work

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• Compactness in kinetic transport equations and hypoellipticity
• Functional analysis, Sobolev spaces and partial differential equations
• \(L^ p\) regularity of velocity averages
• Subelliptic estimates and function spaces on nilpotent Lie groups
• Hypoelliptic regularity in kinetic equations.
• A real space method for averaging lemmas
• \(L^1\) averaging Lemma for transport equations with Lipschitz force fields
• Pointwise estimates for a class of non-homogeneous Kolmogorov equations
• A limiting case for velocity averaging
• Régularité $L\sp p$ précisée des moyennes dans les équations de transport
• 𝐿^{𝑝} estimates for nonvariational hypoelliptic operators with 𝑉𝑀𝑂 coefficients

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