Abstract
Krein space methods are used to derive the unique solvability of a class of abstract kinetic equations on a half-space with accretive collision operators. At the same time a new proof is provided for the case of a positive self-adjoint collision operator. A Fokker-Planck type example is worked out as a new application.
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This work was performed while the author resided at the Dept. of Physics and Astronomy of the Free University of Amsterdam, The Netherlands.
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Ganchev, A.H., Greenberg, W. & van der Mee, C.V.M. A class of linear kinetic equations in a Krein space setting. Integr equ oper theory 11, 518–535 (1988). https://doi.org/10.1007/BF01199305
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DOI: https://doi.org/10.1007/BF01199305