Cauchy Problem for the Spatially Homogeneous Landau Equation with Shubin Class Initial Datum and Gelfand--Shilov Smoothing Effect

DOI10.1137/17M115116XzbMath1411.35076arXiv1708.06573OpenAlexW2964219246WikidataQ128316200 ScholiaQ128316200MaRDI QIDQ4626463

Hao-Guang Li, Chao-Jiang Xu

Publication date: 28 February 2019

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1708.06573

zbMATH Keywords

spectral decompositionsmoothing effectLandau equationGelfand-Shilov spaceShubin space

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Subelliptic equations (35H20) Initial value problems for PDEs and systems of PDEs with constant coefficients (35E15)

Related Items

Gelfand-Shilov Smoothing Effect for the Radially Symmetric Spatially Homogeneous Landau Equation under the Hard Potential γ=2 ⋮ The analytic smoothing effect of linear Landau equation with soft potentials ⋮ Analytic Gelfand-Shilov smoothing effect of the spatially homogeneous Landau equation with hard potentials ⋮ Gelfand–Shilov smoothing effect of the spatially homogeneous Landau equation with moderately soft potential ⋮ The analytic smoothing effect of solutions for the nonlinear spatially homogeneous Landau equation with hard potentials

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