On a Class of non Linear Schrödinger Equations with non Local Interaction.

Jean Ginibre; Giorgio Velo

Mathematische Zeitschrift (1980)

  • Volume: 170, page 109-136
  • ISSN: 0025-5874; 1432-1823

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Ginibre, Jean, and Velo, Giorgio. "On a Class of non Linear Schrödinger Equations with non Local Interaction.." Mathematische Zeitschrift 170 (1980): 109-136. <http://eudml.org/doc/172905>.

@article{Ginibre1980,
author = {Ginibre, Jean, Velo, Giorgio},
journal = {Mathematische Zeitschrift},
keywords = {Existence and Uniqueness of Global Solutions; Non-Linear Schrödinger Equation; Asymptotic Completeness; Hartree Equation; Scattering Theory; Asymptotic Behaviour in Time of the Solutions; Integral Equation; Conservation Laws; One-Parameter Group of Transformations},
pages = {109-136},
title = {On a Class of non Linear Schrödinger Equations with non Local Interaction.},
url = {http://eudml.org/doc/172905},
volume = {170},
year = {1980},
}

TY - JOUR
AU - Ginibre, Jean
AU - Velo, Giorgio
TI - On a Class of non Linear Schrödinger Equations with non Local Interaction.
JO - Mathematische Zeitschrift
PY - 1980
VL - 170
SP - 109
EP - 136
KW - Existence and Uniqueness of Global Solutions; Non-Linear Schrödinger Equation; Asymptotic Completeness; Hartree Equation; Scattering Theory; Asymptotic Behaviour in Time of the Solutions; Integral Equation; Conservation Laws; One-Parameter Group of Transformations
UR - http://eudml.org/doc/172905
ER -

Citations in EuDML Documents

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  1. Luis Vega Gonzalez, Remarks on global existence and compactness for L 2 solutions in the critical nonlinear schrödinger equation in 2D
  2. Patrick Gérard, Équations de champ moyen pour la dynamique quantique d’un grand nombre de particules
  3. Jean Ginibre, Giorgio Velo, Long range scattering and modified wave operators for Hartree equations
  4. J. Ginibre, G. Velo, The classical field limit of non-relativistic bosons. II. Asymptotic expansions for general potentials
  5. Ph. Blanchard, J. Stubbe, L. Vázquez, On the stability of solitary waves for classical scalar fields
  6. Jürg Fröhlich, Enno Lenzmann, Mean-Field Limit of Quantum Bose Gases and Nonlinear Hartree Equation
  7. Sandro Zagatti, The Cauchy problem for Hartree-Fock time-dependent equations
  8. Thomas Alazard, Rémi Carles, Limite semi-classique des équations de Schrödinger–Poisson
  9. Nakao Hayashi, Yoshio Tsutsumi, Scattering theory for Hartree type equations

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