Uncertainty principle and regularity for Boltzmann type equations

DOI10.1016/j.crma.2007.10.032zbMath1149.35019OpenAlexW2033040829MaRDI QIDQ2465789

Seiji Ukai, Chao-Jiang Xu, Tong Yang, Yoshinori Morimoto, Radjesvarane Alexandre

Publication date: 8 January 2008

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2007.10.032

zbMATH Keywords

inhomogeneous Boltzmann equationlinearized Boltzmann operator

Mathematics Subject Classification ID

Related Items (4)

Partial regularity up to the boundary for solutions of subquadratic elliptic systems ⋮ Gevrey hypoellipticity for linear and non-linear Fokker-Planck equations ⋮ Global existence and full regularity of the Boltzmann equation without angular cutoff ⋮ Regularizing effect and local existence for the non-cutoff Boltzmann equation

Cites Work

• Unnamed Item
• Regularity of solutions to the spatially homogeneous Boltzmann equation without angular cutoff
• The uncertainty principle and hypoelliptic operators
• Estimates for degenerate Schrödinger operators and hypoellipticity for infinitely degenerate elliptic operators
• The positivity of Schrödinger operators and the hypoellipticity of second order degenerate elliptic operators
• Hypoelliptic regularity in kinetic equations.
• Hypoellipticity for a class of kinetic equations
• The uncertainty principle
• The uncertainty principle and sharp gårding inequalities

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