SPECTRAL PROPERTIES OF TRANSPORT EQUATIONS FOR SLAB GEOMETRY IN L1WITH REENTRY BOUNDARY CONDITIONS

DOI10.1081/TT-100105926zbMath1009.47036MaRDI QIDQ2780735

William Greenberg, Degong Song

Publication date: 21 April 2002

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

zbMATH Keywords

spectral properties\(C_0\) semigroupnonhomogeneous slabtime dependent neutron transport equation

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Transport processes in time-dependent statistical mechanics (82C70) Integro-differential operators (47G20)

Related Items (8)

Stability of the Essential Spectrum for Singular Transport Semigroups with Periodic Boundary Conditions ⋮ On The Spectrum of Absorption Operators With Maxwell Boundary Conditions Arising in Population Dynamics and Transport Theory. A Unified Treatment ⋮ On a resolvent approach for perturbed semigroups and application to \(L^1\)-neutron transport theory ⋮ Distributed parameter systems governed by linear transport equations ⋮ Some notes on the spectral properties of C_osemigroups generated by linear transport operators ⋮ A compactness result for perturbed semigroups and application to a transport model ⋮ Spectral Properties of the Neutron Transport Equation for Spherical Geometry in the Setting ofL¹ ⋮ The Criticality Eigenvalue Problem for the Transport Operator with General Boundary Conditions

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