A class of linear kinetic equations in a Krein space setting

DOI10.1007/BF01199305zbMath0656.47028OpenAlexW1983622173MaRDI QIDQ1110067

William Greenberg, Alexander H. Ganchev, Cornelis V. M. van der Mee

Publication date: 1988

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01199305

zbMATH Keywords

weak solutionsunbounded operatorsKrein spacesabstract transport equationsBoltzmann-Fokker-Planck equationpositive spectral projectorself-adjoint and injective operatorspaces with an indefinite metric

Mathematics Subject Classification ID

Isomorphic theory (including renorming) of Banach spaces (46B03) Groups and semigroups of linear operators (47D03) Transport processes in time-dependent statistical mechanics (82C70) Spaces with indefinite inner product (Kre?n spaces, Pontryagin spaces, etc.) (46C20) Linear operators on spaces with an indefinite metric (47B50)

Related Items (5)

The similarity problem for \(J\)-nonnegative Sturm-Liouville operators ⋮ The Critical Point Infinity Associated with Indefinite Sturm–Liouville Problems ⋮ Abstract kinetic equations with accretive collision operators ⋮ On solvability of boundary value problems for kinetic operator-differential equations ⋮ Abstract Kinetic Equations with Positive Collision Operators

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