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On the existence of the scattering operator for the linear Boltzmann equation

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Publication:1244497
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DOI10.1016/0022-247X(77)90191-3zbMath0372.47006MaRDI QIDQ1244497

Juergen Voigt

Publication date: 1977

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



Mathematics Subject Classification ID

Schrödinger operator, Schrödinger equation (35J10) Scattering theory of linear operators (47A40)


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Asymptotic behaviour and wave operators in charge exchange ⋮ The Liouville equation in \(L^ 1\) spaces ⋮ Scattering theory with two \(L^1\) spaces: application to transport equations with obstacles ⋮ Relation between scattering and albedo operators in linear transport theory ⋮ Inverse scattering and inverse boundary value problems for the linear boltzmann equation ⋮ Scattering theory for linearized Boltzmann equation. Survey and new results ⋮ Stark stetige Halbgruppen und Gruppen als Lösungen von Cauchy-Problemen in der Mathematischen Physik ⋮ Dynamics and spectrum of the linear multiple scattering operator in the Banach lattice L1(R3× R3) ⋮ On the Lax and Phillips scattering theory for transport equation



Cites Work

  • Scattering theory for dissipative hyperbolic systems
  • Scattering theory of the linear Boltzmannoperator
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