Scattering theory for linearized Boltzmann equation. Survey and new results
- 1 June 1987
- journal article
- research article
- Published by Taylor & Francis in Transport Theory and Statistical Physics
- Vol. 16 (4-6) , 503-528
- https://doi.org/10.1080/00411458708204304
Abstract
We survey the recent results on the scattering theory for transport equation in whole space and improve some results of our previous paper [2] on this topic.Keywords
This publication has 13 references indexed in Scilit:
- On the Lax and Phillips scattering theory for transport equationJournal of Functional Analysis, 1985
- Spectral properties of the linear multiple scattering operator in L1-Banach latticesIntegral Equations and Operator Theory, 1983
- Dynamics and spectrum of the linear multiple scattering operator in the Banach lattice L1(R3× R3)Transport Theory and Statistical Physics, 1979
- On the existence of the scattering operator for the linear Boltzmann equationJournal of Mathematical Analysis and Applications, 1977
- Scattering theory of the linear Boltzmann operatorCommunications in Mathematical Physics, 1975
- Existence of the scattering matrix for the linearized Boltzmann equationCommunications in Mathematical Physics, 1975
- Linearized Boltzmann equation in L1 spaceJournal of Mathematical Analysis and Applications, 1971
- Existence and uniqueness of nonnegative eigenfunctions of the Boltzmann operatorJournal of Mathematical Analysis and Applications, 1968
- An asymptotic expansion in the theory of neutron transportCommunications on Pure and Applied Mathematics, 1958
- On the spectrum of an unsymmetric operator arising in the transport theory of neutronsCommunications on Pure and Applied Mathematics, 1955