Gelfand–Shilov smoothing effect of the spatially homogeneous Landau equation with moderately soft potential

DOI10.1002/MMA.9325zbMath1530.35094MaRDI QIDQ6185444

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Publication date: 8 January 2024

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

zbMATH Keywords

spatially homogeneous Landau equationmoderately soft potentialGelfand-Shilov function 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)

Cites Work

• Propagation of Gevrey regularity for solutions of Landau equations
• Gevrey regularity for solution of the spatially homogeneous Landau equation
• Ultra-analytic effect of Cauchy problem for a class of kinetic equations
• Analytic smoothness effect of solutions for spatially homogeneous Landau equation
• Dispersion relations for the linearized Fokker-Planck equation
• The Gelfand-Shilov smoothing effect for the radially symmetric homogeneous Landau equation with Shubin initial datum
• The Landau equation in a periodic box
• Phase space analysis and functional calculus for the linearized Landau and Boltzmann operators
• The analytic smoothing effect of solutions for the nonlinear spatially homogeneous Landau equation with hard potentials
• A remark on the ultra-analytic smoothing properties of the spatially homogeneous Landau equation
• Classes of Degenerate Elliptic Operators in Gelfand-Shilov Spaces
• ON THE SPATIALLY HOMOGENEOUS LANDAU EQUATION FOR MAXWELLIAN MOLECULES
• Cauchy Problem for the Spatially Homogeneous Landau Equation with Shubin Class Initial Datum and Gelfand--Shilov Smoothing Effect
• On the spatially homogeneous landau equation for hard potentials part i : existence, uniqueness and smoothness

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