Abstract kinetic equations relevant to supercritical media

DOI10.1016/0022-1236(84)90092-2zbMath0584.47050OpenAlexW2009656796MaRDI QIDQ1070509

Cornelis V. M. van der Mee, William Greenberg

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1016/0022-1236(84)90092-2

zbMATH Keywords

evolution equationindefinite inner productspectral resolutionlinear transport theoryabstract Hilbert space equationcomplete existence-and- uniqueness theory for the abstract boundary value problemFredholm and positivehalf-space- probleminjective and selfadjointmeasure of nonsolvability and non-uniquenesspartial range boundary conditionresults are applied to the one-speed neutron- and to the symmetric multigroup transport equationsupercritical media

Mathematics Subject Classification ID

Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) General theory of ordinary differential operators (47E05) General theory of partial differential operators (47F05) Statistical mechanics of ferroelectrics (82D45) Transport processes in time-dependent statistical mechanics (82C70) Equations and inequalities involving linear operators, with vector unknowns (47A50)

Related Items (7)

The Riemann–Hilbert problem for nonsymmetric systems ⋮ A class of linear kinetic equations in a Krein space setting ⋮ An abstract model for strong evaporation ⋮ A generalized transport equation ⋮ Abstract boundary value problems from kinetic theory ⋮ Half-space problem of the Boltzmann equation for charged particles ⋮ An abstract approach to evaporation models in rarefied gas dynamics

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