Diffusion à longue portée et opérateurs d’ondes modifiés pour le système Ondes-Schrödinger

Jean Ginibre; Giorgio Velo

Séminaire Équations aux dérivées partielles (2001-2002)

  • page 1-17

How to cite

top

Ginibre, Jean, and Velo, Giorgio. "Diffusion à longue portée et opérateurs d’ondes modifiés pour le système Ondes-Schrödinger." Séminaire Équations aux dérivées partielles (2001-2002): 1-17. <http://eudml.org/doc/11041>.

@article{Ginibre2001-2002,
author = {Ginibre, Jean, Velo, Giorgio},
journal = {Séminaire Équations aux dérivées partielles},
language = {eng},
pages = {1-17},
publisher = {Centre de mathématiques Laurent Schwartz, École polytechnique},
title = {Diffusion à longue portée et opérateurs d’ondes modifiés pour le système Ondes-Schrödinger},
url = {http://eudml.org/doc/11041},
year = {2001-2002},
}

TY - JOUR
AU - Ginibre, Jean
AU - Velo, Giorgio
TI - Diffusion à longue portée et opérateurs d’ondes modifiés pour le système Ondes-Schrödinger
JO - Séminaire Équations aux dérivées partielles
PY - 2001-2002
PB - Centre de mathématiques Laurent Schwartz, École polytechnique
SP - 1
EP - 17
LA - eng
UR - http://eudml.org/doc/11041
ER -

References

top
  1. A. Bachelot : Problème de Cauchy pour des systèmes hyperboliques semi-linéaires, Ann. IHP (Anal. non lin.), 1, 453-478 (1984). Zbl0566.35068MR778979
  2. J. Ginibre, T. Ozawa : Long range scattering for nonlinear Schrödinger and Hartree equations in space dimension n 2 , Commun. Math. Phys., 151, 619-645 (1993). Zbl0776.35070MR1207269
  3. J. Ginibre, G. Velo : Long range scattering and modified wave operators for some Hartree type equations I, Rev. Math. Phys., 12, 361-429 (2000). Zbl1044.35041MR1755906
  4. J. Ginibre, G. Velo : Long range scattering and modified wave operators for some Hartree type equations II, Ann. H.P., 1, 753-800 (2000). Zbl1024.35084MR1785187
  5. J. Ginibre, G. Velo : Long range scattering and modified wave operators for some Hartree type equations III, Gevrey spaces and low dimensions, J. Diff. Eq.175, 415-501 (2001). Zbl0991.35057MR1855975
  6. J. Ginibre, G. Velo : Long range scattering and modified wave operators for the Wave-Schrödinger system, Ann. H.P., in press. Zbl1025.35014
  7. J. Ginibre, G. Velo : Long range scattering and modified wave operators for the Maxwell-Schrödinger system, I The case of vanishing asymptotic magnetic field, Prétirage Orsay, juin 02. Zbl1038.35048
  8. N. Hayashi, P. I. Naumkin : Scattering theory and large time asymptotics of solutions to Hartree type equations with a long range potential, preprint, 1997. Zbl0985.35083MR1815004
  9. N. Hayashi, P. I. Naumkin : Remarks on scattering theory and large time asymptotics of solutions to Hartree type equations with a long range potential, SUT J. of Math., 34, 13-24 (1998). Zbl0937.35167MR1639023
  10. N. Hayashi, T. Ozawa : Modified wave operators for the derivative nonlinear Schrödinger equation, Math. Ann., 298, 557-576 (1994). Zbl0791.35124MR1262776
  11. K. Nakanishi : Modified wave operators for the Hartree equation with data, image and convergence in the same space, Commun. Pure Appl. Anal., in press. Zbl1013.35056MR1938613
  12. K. Nakanishi : Modified wave operators for the Hartree equation with data, image and convergence in the same space II, Ann. HP, in press. Zbl1040.35054
  13. T. Ozawa : Long range scattering for nonlinear Schrödinger equations in one space dimension, Commun. Math. Phys., 139, 479-493 (1991). Zbl0742.35043MR1121130
  14. T. Ozawa, Y. Tsutsumi : Asymptotic behaviour of solutions for the coupled Klein-Gordon-Schrödinger equations, in Spectral and Scattering Theory and Applications, Adv. Stud. in Pure Math., Jap. Math. Soc., 23, 295-305 (1994). Zbl0817.35089MR1275411
  15. Y. Tsutsumi : Global existence and asymptotic behaviour of solutions for the Maxwell-Schrödinger system in three space dimensions, Commun. Math. Phys., 151, 543-576 (1993). Zbl0766.35061MR1207265

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.