On the Lax and Phillips scattering theory for transport equation

DOI10.1016/0022-1236(85)90006-0zbMath0577.47012OpenAlexW2028335372MaRDI QIDQ1066066

Hassan Emamirad

Publication date: 1985

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(85)90006-0

zbMATH Keywords

eigenmodestransport operatordifferentiable semigroupfinite collisions systemincoming and outgoing subspacesLax and Phillips representation theoremLax and Phillips scattering theory for neutron transport equationlocation of resonancesultimately compact semigroup

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Scattering theory for PDEs (35P25) Groups and semigroups of linear operators (47D03) Transport processes in time-dependent statistical mechanics (82C70) Scattering theory of linear operators (47A40)

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Cites Work

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• Singularities and energy decay in acoustical scattering
• Spectral properties of the neutron transport equation
• Spectral methods in linear transport theory
• Scattering theory of the linear Boltzmannoperator
• Sur la solution globale du problème mixte de l'équation de Boltzmann non linéaire
• On the existence of the scattering operator for the linear Boltzmann equation
• Existence and uniqueness of nonnegative eigenfunctions of the Boltzmann operator
• A logarithmic bound on the location of the poles of the scattering matrix
• An asymptotic expansion in the theory of neutron transport
• Dynamics and spectrum of the linear multiple scattering operator in the Banach lattice L¹(R³× R³)
• Existence and Uniqueness Theorems for the Neutron Transport Equation
• Linear Operations on Summable Functions

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