Metastability results for a class of linear Boltzmann equations

DOI10.1007/s00023-023-01334-wzbMath1528.35083arXiv2206.04492OpenAlexW4281482729MaRDI QIDQ6054126

Thomas Normand

Publication date: 24 October 2023

Published in: Annales Henri Poincaré (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2206.04492

zbMATH Keywords

Boltzmann equations

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Boltzmann equations (35Q20)

Cites Work

• Small eigenvalues of the low temperature linear relaxation Boltzmann equation with a confining potential
• Spectral and phase space analysis of the linearized non-cutoff Kac collision operator
• Poincaré and logarithmic Sobolev inequalities by decomposition of the energy landscape
• Metastability in reversible diffusion processes. II: Precise asymptotics for small eigenvalues
• Phase space analysis and functional calculus for the linearized Landau and Boltzmann operators
• About small eigenvalues of the Witten Laplacian
• Improving semigroup bounds with resolvent estimates
• Hermite basis diagonalization for the non-cutoff radially symmetric linearized Boltzmann operator
• Tunnel effect for Kramers-Fokker-Planck type operators
• Sharp spectral asymptotics for nonreversible metastable diffusion processes
• Tunnel effect and symmetries for Kramers–Fokker–Planck type operators
• Puits multiples en mecanique semi-classique iv etude du complexe de witten
• On the Weyl symbol of the resolvent of the harmonic oscillator
• Hypocoercivity for linear kinetic equations conserving mass
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