Spectral properties of the neutron transport equation

DOI10.1016/0022-247X(85)90137-4zbMath0567.45002MaRDI QIDQ1059815

Juergen Voigt

Publication date: 1985

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

spectrumweak compactnessevolution semigroupspectral boundsDyson-Phillips expansionCorngold limitintegrodifferential neutron transport equation

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Asymptotics of solutions to integral equations (45M05) Transport processes in time-dependent statistical mechanics (82C70) Eigenvalue problems for integral equations (45C05)

Related Items

On the leading eigenvalue of neutron transport models, Spectral theory of neutron transport semigroups with partly elastic collision operators, Compactness properties for linear transport operators with abstract boundary conditions in slab geometry, Spectral Interpolation of the Linear Boltzmann Operator inL^pSpaces, COMPACTNESS RESULTS FOR TRANSPORT EQUATIONS AND APPLICATIONS, Description of the real point spectrum for a class of neutron transport operators, An inverse problem for a nonlinear transport equation with final overdetermination, On the asymptotic spectrum of a transport operator with elastic and inelastic collision operators, A generalization of the Vidav-Jörgens perturbation theorem for semigroups and its application to transport theory, Existence results for a nonlinear transport equation with unbounded admissible velocities space, \(C_0\)-semigroups norm continuous at infinity, The discrete eigenvalues for a class of integro-differential operators (II), Quelques applications de la positivité en théorie du transport, Spectral Theory for Neutron Transport, Some compactness and interpolation results for linear Boltzmann equation, Time asymptotic behaviour for linear transport equations with abstract boundary conditions in slab geometry, Spectral theory of the neutron transport operator in bounded geometries, A perturbation theorem for the essential spectral radius of strongly continuous semigroups, Some spectral properties of the neutron transport operator in bounded geometries, Some remarks on the essential spectrum of transport operators with abstract boundary conditions, The Asymptotic Behavior for the Transport Operator in Slab Geometry, Inverse scattering and inverse boundary value problems for the linear boltzmann equation, The spectrum of the linear Boltzmann operator with an external field, Asymptotic behavior of the classical time dependent solution for particle transport in a finite body with [0,v_M ENERGY], A note on the growth band of \(C_0\)-semigroups, Scattering theory for linearized Boltzmann equation. Survey and new results, Spectral properties and time asymptotic behaviour of linear transport equations in slab geometry, AnL^ptheory for stationary radiative transfer, The spectrum of a one-velocity transport operator with integral boundary conditions of Maxwell type, Distributed parameter systems governed by linear transport equations, Some notes on the spectral properties of C_osemigroups generated by linear transport operators, HOMOGENIZATION OF BOUNDARY VALUE PROBLEMS AND SPECTRAL PROBLEMS FOR NEUTRON TRANSPORT IN LOCALLY PERIODIC MEDIA, SPECTRAL PROPERTIES OF TRANSPORT EQUATIONS FOR SLAB GEOMETRY IN L¹WITH REENTRY BOUNDARY CONDITIONS, A compactness result for perturbed semigroups and application to a transport model, AN OPTIMALITY CONDITION FOR THE ASSEMBLY DISTRIBUTION IN A NUCLEAR REACTOR, Spectral properties of a class of positive semigroups on Banach lattices and streaming operators, The stability of the linear transport equation in a nonmultiplying medium, Spectral analysis of transport equations with bounce-back boundary conditions, Spectral theorems of voigt type for linear Boltzmann equation with external field, Optimal spectral theory of the linear Boltzmann equation, Relatively strictly singular perturbations, essential spectra, and application to transport operators, An asymptotic expansion theorem in transport theory, Spectral properties of a streaming operator with diffuse reflection boundary condition, Time dependent transport equation with continuous solutions (II) asymptotic behavior, The spectrum of the transport operator with generalized boundary conditions, Time asymptotic behavior of the solution to a Cauchy problem governed by a transport operator, Interpolation for (positive) \(C_ 0\)-semigroups on \(L_ p\)-spaces, On the Lax and Phillips scattering theory for transport equation, Positivity in time dependent linear transport theory, HOMOGENIZATION OF A NONLINEAR NEUTRON TRANSPORT PROBLEM

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A perturbation theorem for the essential spectral radius of strongly continuous semigroups
• Über das Spektrum positiver Generatoren
• Spectral methods in linear transport theory
• On the spectrum of neutron transport equation in finite bodies
• Time behavior of thermal neutrons in moderating media
• Spectra of perturbed semigroups with applications to transport theory
• An asymptotic expansion in the theory of neutron transport
• On the spectrum of an unsymmetric operator arising in the transport theory of neutrons