Gevrey regularity of spatially homogeneous Boltzmann equation without cutoff
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Publication:436286
DOI10.1016/j.jde.2012.04.023zbMath1250.35053arXiv1201.2048OpenAlexW2963065523MaRDI QIDQ436286
Publication date: 20 July 2012
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1201.2048
Smoothness and regularity of solutions to PDEs (35B65) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Subelliptic equations (35H20) Boltzmann equations (35Q20)
Related Items (13)
Sharp regularity properties for the non-cutoff spatially homogeneous Boltzmann equation ⋮ The Gelfand-Shilov smoothing effect for the radially symmetric homogeneous Landau equation with Shubin initial datum ⋮ Propagation of Gevrey regularity for solution of non-cutoff Boltzmann equation ⋮ Shubin regularity for the radially symmetric spatially homogeneous Boltzmann equation with Debye-Yukawa potential ⋮ Smoothing effect and Cauchy problem for radially symmetric homogeneous Boltzmann equation with Debye-Yukawa potential of Shubin class initial datum ⋮ Gevrey regularity of solutions to the non-cutoff homogeneous Boltzmann equation for soft potential with strong singularity ⋮ Global regularity of Weyl pseudo-differential operators with radial symbols in each phase-space variable ⋮ Gevrey regularity for the noncutoff nonlinear homogeneous Boltzmann equation with strong singularity ⋮ Gevrey regularity for solutions of the non-cutoff Boltzmann equation: the spatially inhomogeneous case ⋮ The Cauchy problem for the radially symmetric homogeneous Boltzmann equation with Shubin class initial datum and Gelfand-Shilov smoothing effect ⋮ Gevrey smoothing for weak solutions of the fully nonlinear homogeneous Boltzmann and Kac equations without cutoff for Maxwellian molecules ⋮ Sharp regularity and Cauchy problem of the spatially homogeneous Boltzmann equation with Debye-Yukawa potential ⋮ Infinite order \(\Psi\mathrm{DOs}\): composition with entire functions, new Shubin-Sobolev spaces, and index theorem
Cites Work
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- A review of Boltzmann equation with singular kernels
- Gevrey regularizing effect of the Cauchy problem for non-cutoff homogeneous Kac's equation
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- Ultra-analytic effect of Cauchy problem for a class of kinetic equations
- Gevrey hypoellipticity for linear and non-linear Fokker-Planck equations
- Smoothness of the Solution of the Spatially Homogeneous Boltzmann Equation without Cutoff
- Propagation of Gevrey regularity for solutions of the Boltzmann equation for Maxwellian molecules
- Local solutions in gevrey classes to the nonlinear Boltzmann equation without cutoff
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