Uniqueness of solutions to the linearized Boltzmann equation
- 1 January 1978
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 19 (1) , 249-252
- https://doi.org/10.1063/1.523545
Abstract
Uniqueness theorems are proved for the linearized Boltzmann equation for both the ’’exterior’’ and ’’interior’’ problems under generalized Maxwell boundary conditions. The solution space is a weighted Lp space, and agrees with the space in which solutions have previously been constructed.Keywords
This publication has 10 references indexed in Scilit:
- On the theory of stationary waves in plasmasPublished by Elsevier ,2004
- Linear analysis and solution of neutron transport problemsTransport Theory and Statistical Physics, 1976
- Functional analytic treatment of the transport equationTransport Theory and Statistical Physics, 1976
- Extension of the Case formulas to L p. Application to half and full space problemsJournal of Mathematical Physics, 1975
- A functional‐analytic derivation of case's full and half‐range formulasCommunications on Pure and Applied Mathematics, 1973
- Uniqueness Theorems for the Linearized Boltzmann EquationPhysics of Fluids, 1972
- An exact solution of equations of radiative transfer for Local Thermodynamic Equilibrium in the non-gray case. Picket fence approximationAnnals of Physics, 1966
- Elementary solutions of the linearized gas-dynamics boltzmann equation and their application to the slip-flow problemAnnals of Physics, 1962
- Elementary solutions of the transport equation and their applicationsAnnals of Physics, 1960
- Plasma oscillationsAnnals of Physics, 1959