Some notes on the spectral properties of Cosemigroups generated by linear transport operators

DOI10.1080/00411459708221786zbMath0915.47030OpenAlexW2321519030MaRDI QIDQ4398428

Degong Song

Publication date: 28 June 1999

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

Full work available at URL: https://doi.org/10.1080/00411459708221786

zbMATH Keywords

boundary conditionsspectral propertiesstrongly continuous semigroupslinear transport operator

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Transport processes in time-dependent statistical mechanics (82C70)

Related Items (10)

On eventual compactness of collisionless kinetic semigroups with velocities bounded away from zero ⋮ Time asymptotic description of the solution to an abstract Cauchy problem and application to transport equation ⋮ Time asymptotic behavior of the solution to the linear Boltzmann equation in finite bodies ⋮ The Asymptotic Behavior for the Transport Operator in Slab Geometry ⋮ On a resolvent approach for perturbed semigroups and application to \(L^1\)-neutron transport theory ⋮ A compactness result for perturbed semigroups and application to a transport model ⋮ Stability of the essential spectrum for 2D-transport models with Maxwell boundary conditions ⋮ Optimal spectral theory of the linear Boltzmann equation ⋮ Feedback stabilization of some classes of nonlinear transport systems ⋮ Spectral Properties of the Neutron Transport Equation for Spherical Geometry in the Setting ofL¹

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• SPECTRAL PROPERTIES OF TRANSPORT EQUATIONS FOR SLAB GEOMETRY IN L¹WITH REENTRY BOUNDARY CONDITIONS
• An asymptotic expansion in the theory of neutron transport
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• A note on the spectrum of the transport operator with continuous energy
• A spectral, mapping theorem for the exponential function in ltnear transport theory

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