T-maps connected with Hartree's equation

  • A. M. Chebotarev


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.


Nonlinear Equation Analytic Continuation Bounded Function Strong Convergence Singular Potential 
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Literature cited

  1. 1.
    V. P. Maslov and A. M. Chebotarev, “Representation of the solution of an equation of Hartree type as a T-map,” Dokl. Akad. Nauk SSSR,222, No. 5, 1037–1040 (1975).Google Scholar
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Copyright information

© Plenum Publishing Corporation 1977

Authors and Affiliations

  • A. M. Chebotarev
    • 1
  1. 1.Moscow Institute of Electronic Machine BuildingUSSR

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