zbMath0498.47001MaRDI QIDQ1171263
C. Gerrit Lekkerkerker, Hans G. Kaper, Johann Hejtmanek
Publication date: 1982
Published in: Operator Theory: Advances and Applications (Search for Journal in Brave)
Compactness properties for linear transport operators with abstract boundary conditions in slab geometry ⋮
Spectral Interpolation of the Linear Boltzmann Operator inLpSpaces ⋮
Well-Balanced Schemes Based on Elementary Solutions for Kinetic Models of Ionized or Ultra-Relativistic Gas ⋮
Global Bifurcation from the Real Leading Eigenvalue of the Transport Operator ⋮
Unnamed Item ⋮
Using 2D and 1D block-pulse functions simultaneously for solving the Barbashin integro-differential equations ⋮
New approach on the study of operator matrix ⋮
Multiresolution approach to the approximation of the leading eigenelements of some neutron transport operators ⋮
On the peripheral spectrum of positive operators ⋮
On the spectrum of the free streaming operator in the three‐dimensional case ⋮
Fredholm, semi-Fredholm perturbations, and essential spectra ⋮
The stability of the linear transport equation in a nonmultiplying medium ⋮
Redheffer Products and Numerical Approximation of Currents in One-Dimensional Semiconductor Kinetic Models ⋮
The spectrum of the transport operator with generalized boundary conditions ⋮
Domain derivative of the leading eigenvalue of a model transport operator ⋮
Transfer functions and operator theory ⋮
Spectral properties of the space nonhomogeneous linearized Boltzmann operator ⋮
Trace theorems and kinetic equations for non divergence free external forces ⋮
Description of the real point spectrum for a class of neutron transport operators ⋮
A note on the spectrum of the transport operator with continuous energy ⋮
Stability and exponential convergence for Boltzmann equation ⋮
An inverse problem for a nonlinear transport equation with final overdetermination ⋮
Symmetric family of Fredholm operators of indices zero, stability of essential spectra and application to transport operators ⋮
Time asymptotic behaviour for a one-velocity transport operator with Maxwell boundary condition ⋮
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 ⋮
A characterization of some subsets of Schechter's essential spectrum and application to singular transport equation ⋮
On stability of vector nonlinear integrodifferential equations ⋮
On an unbounded linear operator arising in the theory of growing cell population ⋮
The Cauchy problem for the linear Maxwell-Boltzmann equation ⋮
Asymptotic behaviour and wave operators in charge exchange ⋮
Abstract time-dependent transport equations ⋮
\(C_0\)-semigroups norm continuous at infinity ⋮
Estimates of the discrete spectrum of a linear operator pencil ⋮
Fredholm perturbation theory and some essential spectra in Banach algebra with respect to subalgebra ⋮
On stability of linear barbashin type integrodifferential equations ⋮
A non-selfadjoint general matrix eigenvalue problem ⋮
Bounds and positivity conditions for operator valued functions in a Hilbert lattice ⋮
Quelques applications de la positivité en théorie du transport ⋮
Spectral analysis of monoenergetic transport equation with delayed neutrons in slab geometry ⋮
Abstract kinetic equations with accretive collision operators ⋮
Spectral analysis of the multigroup transport operator ⋮
Some compactness and interpolation results for linear Boltzmann equation ⋮
On the approximation of the leading eigenelements for a class of transport operators ⋮
Relation between scattering and albedo operators in linear transport theory ⋮
Time asymptotic behaviour for linear transport equations with abstract boundary conditions in slab geometry ⋮
Some spectral properties of the neutron transport operator in bounded geometries ⋮
On substochastic C0-semigroups and their generators ⋮
Time asymptotic description of the solution to an abstract Cauchy problem and application to transport equation ⋮
Time asymptotic behaviour for unbounded linear operators arising in growing cell populations. ⋮
Spectrum of one-speed Neutron transport operator with reflective boundary conditions in slab geometry ⋮
Time asymptotic behavior of the solution to the linear Boltzmann equation in finite bodies ⋮
Kinetic equations with collision operators of spectral radius less than one ⋮
Existence results for a nonlinear transport equation in bounded geometry on \(L^{1}\)-spaces ⋮
Measure of weak noncompactness, some new properties in Fredholm theory, characterization of the Schechter essential spectrum and application to transport operators ⋮
Some examples of kinetic schemes whose diffusion limit is Il'in's exponential-fitting ⋮
Indefinite elliptic spectral problems ⋮
On the linear transport equation for rigid spheres ⋮
On solvability of boundary value problems for kinetic operator-differential equations ⋮
Eigenfunctions for a class of parametric Sturm-Liouville problems with an eigenvalue continuum ⋮
Scattering theory for linearized Boltzmann equation. Survey and new results ⋮
Estimates for solutions of differential equations in a Banach space via commutators ⋮
Counterexample to the Spectral Mapping Theorem for the Exponential Function ⋮
Elementary solutions for a model Boltzmann equation in one dimension and the connection to grossly determined solutions ⋮
Relatively compact-like perturbations, essential spectra and application ⋮
Weak spectral mapping theorems for \(C_0\)-groups associated to transport equations in slab geometry ⋮
On some measure convolution operators in neutron transport theory ⋮
The application of the perturbation method in nuclear reactor ⋮
Distributed parameter systems governed by linear transport equations ⋮
Transport theory revisited - 1960–1995 (A case history) ⋮
Asymptotic analysis of a singular Sturm-Liouville boundary value problem ⋮
Fredholm operators, essential spectra and application to transport equations ⋮
New Variational Formulations for the Neutron Transport Equation ⋮
SPECTRAL PROPERTIES OF TRANSPORT EQUATIONS FOR SLAB GEOMETRY IN L1WITH REENTRY BOUNDARY CONDITIONS ⋮
TIME–DEPENDENT KINETIC EQUATIONS WITH COLLISION TERMS RELATIVELY BOUNDED WITH RESPECT TO THE COLLISION FREQUENCY ⋮
Essential spectra, matrix operator and applications ⋮
Spectral properties of a class of positive semigroups on Banach lattices and streaming operators ⋮
On weak and strong convergence to equilibrium for solutions to the linear Boltzmann equation ⋮
A constructive solution method for linear transport problems ⋮
Fine spectral analysis of isotropic partly elastic neutron transport operators ⋮
The semigroup approach to transport processes in networks ⋮
Spectral properties of the linear multiple scattering operator in \(L^ 1\)-Banach lattices ⋮
Spectral analysis of a transport operator arising in growing cell populations ⋮
Stability and boundedness of solutions to nonautonomous parabolic integrodifferential equations ⋮
Abstract Kinetic Equations with Positive Collision Operators ⋮
\(\mathscr{L}\)-splines as diffusive limits of dissipative kinetic models ⋮
Some fixed point theorems in Banach spaces and application to a transport equation with delayed neutrons ⋮
Perturbation results for linear operators and application to the transport equation ⋮
Point approximation of a space-homogeneous transport equation ⋮
Some properties of eigenfunctions of linear pencils ⋮
Some results on Fredholm operators, essential spectra, and application ⋮
A spectral, mapping theorem for the exponential function in ltnear transport theory ⋮
Non-real eigenvalues of singular indefinite Sturm-Liouville operators ⋮
Nonlinear semigroup approach to transport equations with delayed neutrons ⋮
On the stability of the transport equation ⋮
Representations of internal field solutions for generalized kinetic models ⋮
Duality theory for solutions to Volterra integral equations ⋮
Stability of stationary transport equations with accretive collision operators ⋮
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 ⋮
On the spectrum of the transport operator with abstract boundary conditions in slab geometry ⋮
Spectral Properties of the Neutron Transport Equation for Spherical Geometry in the Setting ofL1 ⋮
A Semi‐analytic Solution to the Time‐Dependent Half‐Space Linear Boltzmann Equation ⋮
A characterization of the Schechter essential spectrum on Banach spaces and applications ⋮
The spectrum of the linear transport operator with a force in a torus ⋮
Spectral properties and asymptotic behavior of the linear transport equation ⋮
Spectral properties of the neutron transport equation ⋮
Some remarks on the Schechter essential spectrum and applications to transport equations. ⋮
On the Lax and Phillips scattering theory for transport equation ⋮
Positivity in time dependent linear transport theory ⋮
Abstract kinetic equations relevant to supercritical media ⋮
Approximations of positive operators and continuity of the spectral radius. II ⋮
Two counterexamples to the spectral mapping theorem for semigroups of positive operators