Description of the real point spectrum for a class of neutron transport operators

DOI10.1080/00411459308203834zbMath0786.45010OpenAlexW2105280548MaRDI QIDQ4271046

Khalid Latrach

Publication date: 16 May 1994

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

Full work available at URL: https://doi.org/10.1080/00411459308203834

zbMATH Keywords

eigenvaluesisotropic scatteringlinear transport operatorreal point spectrum

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Transport processes in time-dependent statistical mechanics (82C70) Nuclear reactor theory; neutron transport (82D75) Eigenvalue problems for integral equations (45C05) Integro-differential operators (47G20)

Related Items (3)

On the essential spectrum of transport operators on L1-spaces ⋮ On the real point spectrum of multigroup neutron transport operator in bounded geometries ⋮ A characterization of the Schechter essential spectrum on Banach spaces and applications

Cites Work

• Unnamed Item
• Unnamed Item
• Spectral properties and asymptotic behavior of the linear transport equation
• Spectral properties of the neutron transport equation
• Boundary value problems in abstract kinetic theory
• A generalization of the Vidav-Jörgens perturbation theorem for semigroups and its application to transport theory
• Spectral methods in linear transport theory
• On the spectrum of neutron transport equation in finite bodies
• Eigenvalues of the neutron transport operator for a homogeneous finite moderator
• Existence and uniqueness of nonnegative eigenfunctions of the Boltzmann operator
• Complete continuity of the free gas scattering operator in neutron thermalization theory
• Time behavior of thermal neutrons in moderating media
• Spectra of perturbed semigroups with applications to transport theory
• Quelques applications de la positivité en théorie du transport
• An asymptotic expansion in the theory of neutron transport
• Spectral theory of the neutron transport operator in bounded geometries
• Some spectral properties of the neutron transport operator in bounded geometries
• On the real spectrum of a mono-energetic neutron transport operator
• A spectral, mapping theorem for the exponential function in ltnear transport theory
• On the spectrum of an unsymmetric operator arising in the transport theory of neutrons

This page was built for publication: Description of the real point spectrum for a class of neutron transport operators