On nonlinear Schrödinger equations
Publications Mathématiques de l'IHÉS, Les relations entre les mathématiques et la physique théorique. Festschrift for the 40th anniversary of the IHÉS, Tome S88 (1998), pp. 11-21. 
@article{PMIHES_1998__S88__11_0,
     author = {Bourgain, Jean},
     title = {On nonlinear {Schr\"odinger} equations},
     journal = {Publications Math\'ematiques de l'IH\'ES},
     pages = {11--21},
     publisher = {Institut des Hautes \'Etudes Scientifiques},
     volume = {S88},
     year = {1998},
     mrnumber = {1667895},
     zbl = {01784364},
     language = {en},
     url = {http://www.numdam.org/item/PMIHES_1998__S88__11_0/}
}
TY  - JOUR
AU  - Bourgain, Jean
TI  - On nonlinear Schrödinger equations
JO  - Publications Mathématiques de l'IHÉS
PY  - 1998
SP  - 11
EP  - 21
VL  - S88
PB  - Institut des Hautes Études Scientifiques
UR  - http://www.numdam.org/item/PMIHES_1998__S88__11_0/
LA  - en
ID  - PMIHES_1998__S88__11_0
ER  - 
%0 Journal Article
%A Bourgain, Jean
%T On nonlinear Schrödinger equations
%J Publications Mathématiques de l'IHÉS
%D 1998
%P 11-21
%V S88
%I Institut des Hautes Études Scientifiques
%U http://www.numdam.org/item/PMIHES_1998__S88__11_0/
%G en
%F PMIHES_1998__S88__11_0
Bourgain, Jean. On nonlinear Schrödinger equations. Publications Mathématiques de l'IHÉS, Les relations entre les mathématiques et la physique théorique. Festschrift for the 40th anniversary of the IHÉS, Tome S88 (1998), pp. 11-21. http://www.numdam.org/item/PMIHES_1998__S88__11_0/

[B1] J. Bourgain , Global wellposedness of defocusing 3D critical NLS in the radial case, JAMS, to appear.

[B2] J. Bourgain , Periodic nonlinear Schrödinger equation and Invariant Measures, CMP, Vol. 166, N1 (1994), 1-26. | MR | Zbl

[B3] J. Bourgain , Invariant measures for the 2D-defocusing nonlinear Schrödinger equation, CMP 176 (1996), 421-445. | MR | Zbl

[B4] J. Bourgain , Invariant measures for the Gross-Piateskii equation , J. Math Pures Appl. 76, 1997, 649-702. | MR | Zbl

[B5] J. Bourgain , Quasi-periodic solutions of Hamiltonian perturbations of 2D linear Schrödinger equations, Annals of Math, (to appear). | MR | Zbl

[B6] J. Bourgain , Construction of approximative and almost periodic solutions of perturbed linear Schrödinger and wave equations, GAFA, Vol. 6, N2 (1996), 201-230. | MR | Zbl

[Ca-We] T. Cazenave , F. Weissler, The Cauchy problem for the critical nonlinear Schrödinger equation in HS, Nonlinear Anal., TMA 14 (1990), 807-836. | MR | Zbl

[Cr-Wa] W. Craig, G. Wayne, Newton's method and periodic solutions of nonlinear wave equations , CPAM 46 ( 1993 ),1409-1501. | Zbl

[GV] J. Ginibre , G. Velo, On a class of nonlinear Schrödinger equations I, II, III, JFA 32 ( 1979),1-71; Ann. Inst. H. Poincaré - Phys. Th. 28 (1978), 287-316. | Numdam | MR | Zbl

[F-S-Wi] J. Fröhlich , T. Spencer, P. Wittwer, Localization for a class of one dimensional quasi-periodic Schrödinger operators, CMP 132, N1 (1990), 5-25. | MR | Zbl

[F-S-Wa] J. Fröhlich , T. Spencer, E. Wayne, Localization in disordered, nonlinear dynamical systems, J. Stat. Ph. 42 (1986), 257-275. | MR | Zbl

[Ja] A. Jaffe, Notes (1994).

[K] S. Kuksin , Nearly integrable infinite-dimensional Hamiltonian systems, LNM 1556, Springer. | Zbl

[K-P] S. Kuksin , J. Poschel, Invariant Cantor manifolds of quasi-periodic oscillations for a nonlinear Schrödinger equation, Annals of Math 143:1 (1996), 149-179. | MR | Zbl

[B-S] D. Brydges , G. Slade, Statistical mechanics of the 2-dimensional focusing nonlinear Schrödinger equation, CMP ( 1996) 182, 485-504. | MR | Zbl

[L-R-S, 1, 2] J. Lebowitz, H. Rose, E. Speer, Statistical mechanics of the nonlinear Schrödinger equation, J. Stat. Phys. 50 (1988), 657-687. Idem, Mean field approximation , J. Stat. Phys. 54 ( 1989), 17-56. | MR | Zbl