The Cauchy problem for Hartree-Fock time-dependent equations
Annales de l'I.H.P. Physique théorique, Tome 56 (1992) no. 4, pp. 357-374. 
@article{AIHPA_1992__56_4_357_0,
     author = {Zagatti, Sandro},
     title = {The {Cauchy} problem for {Hartree-Fock} time-dependent equations},
     journal = {Annales de l'I.H.P. Physique th\'eorique},
     pages = {357--374},
     publisher = {Gauthier-Villars},
     volume = {56},
     number = {4},
     year = {1992},
     mrnumber = {1175475},
     zbl = {0763.35089},
     language = {en},
     url = {http://archive.numdam.org/item/AIHPA_1992__56_4_357_0/}
}
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Zagatti, Sandro. The Cauchy problem for Hartree-Fock time-dependent equations. Annales de l'I.H.P. Physique théorique, Tome 56 (1992) no. 4, pp. 357-374. http://archive.numdam.org/item/AIHPA_1992__56_4_357_0/

[1] J.P. Blaizot and G. Ripka, Quantum Theory of Finite Systems, ch. 9, M.I.T. Press. | MR

[2] J. Ginibre and G. Velo, On a Class of Nonlinear Schrödinger Equation I. The Cauchy Problem General Case, J. Funct. Anal., Vol. 32, 1979, pp. 1-32. | MR | Zbl

[3] J. Ginibre and G. Velo, On a Class of Nonlinear Schrödinger Equations with Nonlocal Interaction, Math. Z., Vol. 170, 1980, pp. 109-136. | MR | Zbl

[4] T. Kato Nonlinear Schrödinger Equations, Ann. Inst. H. Poincaré, Phys. Théor., Vol. 46, 1987, pp. 113-129. | Numdam | MR | Zbl

[5] T. Cazenave and F. Weissler, The Cauchy Problem for the Nonlinear Schrödinger Equation in H1, Man. math., Vol. 61, 1988, pp. 477-494. | MR | Zbl

[6] A. Bove, G. Da Prato and G. Fano, An existence Proof for the Hartree-Fock Time Dependent Problem with Bounded Two-Body Interaction, Comm. Math. Phys., Vol. 37, 1974, pp. 183-191. | MR | Zbl

[7] A. Bove, G. Da Prato and G. Fano, On Hartree-Fock Time Dependent Problem, Comm. Math. Phys., Vol. 49, 1976, pp. 25-33. | MR

[8] J.M. Chadam and R.T. Glassey, Global Existence of Solution to the Cauchy Problem for Time Dependent Hartree Equation, J. Math Phys., Vol. 16, 1975, pp. 1122-1130. | MR | Zbl

[9] J.M. Chadam, The Time Dependent Hartree-Fock Equations with Coulomb Two-Body Interaction, Commun. Math. Phys., Vol. 46, 1976, pp. 99-104. | MR | Zbl

[10] T. Cazenave and A. Haraux, Introduction aux problèmes d'évolution semilinéaires, Math. Appl., 1, Ellipses, Paris, 1990. | MR | Zbl

[11] T. Cazenave and F.B. Weissler, Some remarks on the Nonlinear Schrödinger equation in the critical case, in Nonlinear Semigroups, Partial Differential equation and Attractors, T. L. GILL and W. W. ZACHARY Eds., Lect. Notes Math., Vol. 1394, Springer, 1989, pp. 18-29. | MR | Zbl