T-maps connected with Hartree's equation
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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 L2(R3) is proved by the method of analytic continuation.
KeywordsNonlinear Equation Analytic Continuation Bounded Function Strong Convergence Singular Potential
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