The spectrum of the linear Boltzmann operator with an external field

DOI10.1080/00411450008214530zbMath1018.82017OpenAlexW2326239316MaRDI QIDQ2720992

Xian-Wen Zhang

Publication date: 28 June 2001

Published in: Transport Theory and Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00411450008214530

Mathematics Subject Classification ID

Groups and semigroups of linear operators (47D03) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Partial differential equations of mathematical physics and other areas of application (35Q99) Integro-differential operators (47G20)

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Cites Work

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• Semigroups of linear operators and applications to partial differential equations
• Spectral properties of the neutron transport equation
• Positivity in time dependent linear transport theory
• One-parameter semigroups of positive operators
• The Cauchy problem for the linear Maxwell-Boltzmann equation
• A perturbation theorem for the essential spectral radius of strongly continuous semigroups