$T$-maps connected with Hartree's equation
Matematičeskie zametki, Tome 21 (1977) no. 5, pp. 605-614
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The singular potential in Hartree's equation is replaced by a converging almost-everywhere sequence of bounded functions. The solutions of the corresponding equations which are nonlinear equations of Hartree type are represented in the form of $T$-maps. The concept of a $T$-map was introduced earlier by Maslov. The strong convergence of a sequence of $T$-maps on a set dense in $L_2(R^3)$ is proved by the method of analytic continuation.
@article{MZM_1977_21_5_a3,
author = {A. M. Chebotarev},
title = {$T$-maps connected with {Hartree's} equation},
journal = {Matemati\v{c}eskie zametki},
pages = {605--614},
year = {1977},
volume = {21},
number = {5},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1977_21_5_a3/}
}
A. M. Chebotarev. $T$-maps connected with Hartree's equation. Matematičeskie zametki, Tome 21 (1977) no. 5, pp. 605-614. http://geodesic.mathdoc.fr/item/MZM_1977_21_5_a3/