T-maps connected with Hartree's equation

Abstract

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 L2(R3) is proved by the method of analytic continuation.