On collisionless transport semigroups with boundary operators of norm one

DOI10.1007/S00028-007-0360-5zbMath1171.47035OpenAlexW2034748240MaRDI QIDQ932065

Mustapha Mokhtar-Kharroubi

Publication date: 8 July 2008

Published in: Journal of Evolution Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00028-007-0360-5

zbMATH Keywords

transport equationsboundary operatorssubstochastic semigroups(non)conservative boundary conditionsmass loss

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Linear first-order PDEs (35F05) Kinetic theory of gases in time-dependent statistical mechanics (82C40)

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Asymptotic spectrum of the linear Boltzmann equation with general boundary conditions in finite bodies ⋮ Invariant density and time asymptotics for collisionless kinetic equations with partly diffuse boundary operators ⋮ Hypocoercivity for perturbation theory and perturbation of hypocoercivity for confined Boltzmann-type collisional equations ⋮ On general transport equations with abstract boundary conditions. The case of divergence free force field ⋮ Transport semigroup associated to positive boundary conditions of unit norm: a Dyson-Phillips approach

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