Global hypoelliptic and symbolic estimates for the linearized Boltzmann operator without angular cutoff
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Publication:2416981
DOI10.1016/j.matpur.2019.04.013zbMath1450.35084arXiv1212.4632OpenAlexW2963040471MaRDI QIDQ2416981
Radjesvarane Alexandre, Wei-Xi Li, Frederic Hérau
Publication date: 27 May 2019
Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1212.4632
Smoothness and regularity of solutions to PDEs (35B65) Pseudodifferential operators as generalizations of partial differential operators (35S05) A priori estimates in context of PDEs (35B45) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Hypoelliptic equations (35H10) Subelliptic equations (35H20) Boltzmann equations (35Q20)
Related Items (25)
Propagation of Gevrey regularity for solution of non-cutoff Boltzmann equation ⋮ Global existence of non-cutoff Boltzmann equation in weighted Sobolev space ⋮ The resolvent of the linearized Boltzmann operator with a stationary potential ⋮ Regularization estimates and Cauchy theory for inhomogeneous Boltzmann equation for hard potentials without cut-off ⋮ Hypoelliptic and spectral estimates for some linear operators of Landau type ⋮ An explicit coercivity estimate of the linearized quantum Boltzmann operator without angular cutoff ⋮ Stability of rarefaction waves for the non-cutoff Vlasov-Poisson-Boltzmann system with physical boundary ⋮ Analytic smoothing effect of the spatially inhomogeneous Landau equations for hard potentials ⋮ Noncutoff Boltzmann equation with soft potentials in the whole space ⋮ The Landau and non-cutoff Boltzmann equations in union of cubes ⋮ Spectral gap formation to kinetic equations with soft potentials in bounded domain ⋮ The Gevrey regularity for the Vlasov-Poisson-Landau and the non-cutoff Vlasov-Poisson-Boltzmann systems ⋮ Hypocoercivity for perturbation theory and perturbation of hypocoercivity for confined Boltzmann-type collisional equations ⋮ The smoothing effect in sharp Gevrey space for the spatially homogeneous non-cutoff Boltzmann equations with a hard potential ⋮ Global Regularity of the Vlasov-Poisson-Boltzmann System Near Maxwellian Without Angular Cutoff for Soft Potential ⋮ Asymptotic analysis of the linearized Boltzmann collision operator from angular cutoff to non-cutoff ⋮ Gelfand-Shilov smoothing effect for the spatially inhomogeneous Boltzmann equations without cut-off ⋮ Dissipation and Semigroup on $H^k_n$: Non-cutoff Linearized Boltzmann Operator with Soft Potential ⋮ Regularity of the Vlasov-Poisson-Boltzmann system without angular cutoff ⋮ Asymptotic analysis of the spatially homogeneous Boltzmann equation: grazing collisions limit ⋮ Hypocoercivity for a Linearized Multispecies Boltzmann System ⋮ Gevrey regularity of mild solutions to the non-cutoff Boltzmann equation ⋮ Asymptotic stability of the relativistic Boltzmann equation without angular cut-off ⋮ Regularity of Non-cutoff Boltzmann Equation with Hard Potential ⋮ The Gevrey smoothing effect for the spatially inhomogeneous Boltzmann equations without cut-off
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