Geodesic
On solutions of Bogolyubov's kinetic equations quantum statistics
Teoretičeskaâ i matematičeskaâ fizika, Tome 13 (1972) no. 3, pp. 391-405

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Bogolyubov's kinetic equations are studied for quantum statistics. A method proposed by Bogolyubov is used to investigate the solutions of the kinetic equations in a Banach space consisting of sequences of nuclear operators in the state space. This makes it possible to construct solutions of the kinetic equations in a finite volume for physically meaningful initial conditions. Weak, or smeared, solutions are constructed in the space of bounded operators. 
@article{TMF_1972_13_3_a9,
     author = {D. Ya. Petrina},
     title = {On solutions of {Bogolyubov's} kinetic equations quantum statistics},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {391--405},
     publisher = {mathdoc},
     volume = {13},
     number = {3},
     year = {1972},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1972_13_3_a9/}
}
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D. Ya. Petrina. On solutions of Bogolyubov's kinetic equations quantum statistics. Teoretičeskaâ i matematičeskaâ fizika, Tome 13 (1972) no. 3, pp. 391-405. http://geodesic.mathdoc.fr/item/TMF_1972_13_3_a9/