Regularity for the Boltzmann equation conditional to macroscopic bounds

DOI10.4171/EMSS/37zbMath1459.35307arXiv2005.02997MaRDI QIDQ2656615

Cyril Imbert, Luis Silvestre

Publication date: 11 March 2021

Published in: EMS Surveys in Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.02997

zbMATH Keywords

Boltzmann equationregularity estimatesnon-cut off assumption

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Interacting particle systems in time-dependent statistical mechanics (82C22) A priori estimates in context of PDEs (35B45) Hypoelliptic equations (35H10) Integro-partial differential equations (35R09) Boltzmann equations (35Q20)

Related Items (10)

Schauder type estimates for degenerate Kolmogorov equations with Dini continuous coefficients ⋮ Local Well-Posedness for the Boltzmann Equation with Very Soft Potential and Polynomially Decaying Initial Data ⋮ Entropy dissipation estimates for the Boltzmann equation without cut-off ⋮ Analytic smoothing effect of the spatially inhomogeneous Landau equations for hard potentials ⋮ Regularity for a special case of two-phase Hele-Shaw flow via parabolic integro-differential equations ⋮ Regularity estimates and open problems in kinetic equations ⋮ Solutions to the non-cutoff Boltzmann equation uniformly near a Maxwellian ⋮ Kinetic Schauder estimates with time-irregular coefficients and uniqueness for the Landau equation ⋮ Asymptotic stability of the relativistic Boltzmann equation without angular cut-off ⋮ On the Calderón problem for nonlocal Schrödinger equations with homogeneous, directionally antilocal principal symbols

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