The Cauchy problem for Hartree-Fock time-dependent equations

Sandro Zagatti

Annales de l'I.H.P. Physique théorique (1992)

  • Volume: 56, Issue: 4, page 357-374
  • ISSN: 0246-0211

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Zagatti, Sandro. "The Cauchy problem for Hartree-Fock time-dependent equations." Annales de l'I.H.P. Physique théorique 56.4 (1992): 357-374. <http://eudml.org/doc/76571>.

@article{Zagatti1992,
author = {Zagatti, Sandro},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {existence; uniqueness; globality},
language = {eng},
number = {4},
pages = {357-374},
publisher = {Gauthier-Villars},
title = {The Cauchy problem for Hartree-Fock time-dependent equations},
url = {http://eudml.org/doc/76571},
volume = {56},
year = {1992},
}

TY - JOUR
AU - Zagatti, Sandro
TI - The Cauchy problem for Hartree-Fock time-dependent equations
JO - Annales de l'I.H.P. Physique théorique
PY - 1992
PB - Gauthier-Villars
VL - 56
IS - 4
SP - 357
EP - 374
LA - eng
KW - existence; uniqueness; globality
UR - http://eudml.org/doc/76571
ER -

References

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  1. [1] J.P. Blaizot and G. Ripka, Quantum Theory of Finite Systems, ch. 9, M.I.T. Press. MR822225
  2. [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. Zbl0396.35028MR533218
  3. [3] J. Ginibre and G. Velo, On a Class of Nonlinear Schrödinger Equations with Nonlocal Interaction, Math. Z., Vol. 170, 1980, pp. 109-136. Zbl0407.35063MR562582
  4. [4] T. KatoNonlinear Schrödinger Equations, Ann. Inst. H. Poincaré, Phys. Théor., Vol. 46, 1987, pp. 113-129. Zbl0632.35038MR877998
  5. [5] T. Cazenave and F. Weissler, The Cauchy Problem for the Nonlinear Schrödinger Equation in H1, Man. math., Vol. 61, 1988, pp. 477-494. Zbl0696.35153MR952091
  6. [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. Zbl0303.34046MR424069
  7. [7] A. Bove, G. Da Prato and G. Fano, On Hartree-Fock Time Dependent Problem, Comm. Math. Phys., Vol. 49, 1976, pp. 25-33. Zbl0303.34046MR456066
  8. [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. Zbl0299.35084MR413843
  9. [9] J.M. Chadam, The Time Dependent Hartree-Fock Equations with Coulomb Two-Body Interaction, Commun. Math. Phys., Vol. 46, 1976, pp. 99-104. Zbl0322.35043MR411439
  10. [10] T. Cazenave and A. Haraux, Introduction aux problèmes d'évolution semilinéaires, Math. Appl., 1, Ellipses, Paris, 1990. Zbl0786.35070MR1299976
  11. [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. Zbl0694.35170MR1021011

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