On the spectral decompositions of the linear transport operator with periodic boundary conditions

DOI10.1007/BF00398489zbMath0341.45025MaRDI QIDQ1231643

N. Angelescu, N. Marinescu, Vladimir A. Protopopescu

Publication date: 1976

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10)

Related Items

Completeness theorems in transport theory ⋮ Some compactness and interpolation results for linear Boltzmann equation ⋮ Asymptotic equivalence between the hydrodynamic and kinetic stages for the Lorentz model ⋮ A note on the spectral theorem ⋮ On the spectral decomposition of the transport operator with anisotropic scattering and periodic boundary conditions ⋮ The spectral decomposition for a class of linear transport operators

Cites Work

• Elementary solutions of the transport equation and their applications
• On the large perturbation by a class of non-selfadjoint operators
• The initial value problem for neutron transport in a slab with perfect reflection boundary conditions
• Some non-selfadjoint operators
• On the perturbation of continuous spectra