@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/} }
Bourgain, Jean. On nonlinear Schrödinger equations. Publications Mathématiques de l'IHÉS, Tome S88 (1998), pp. 11-21. http://www.numdam.org/item/PMIHES_1998__S88__11_0/
[B1] Global wellposedness of defocusing 3D critical NLS in the radial case, JAMS, to appear.
,[B2] Periodic nonlinear Schrödinger equation and Invariant Measures, CMP, Vol. 166, N1 (1994), 1-26. | MR | Zbl
,[B3] Invariant measures for the 2D-defocusing nonlinear Schrödinger equation, CMP 176 (1996), 421-445. | MR | Zbl
,[B4] Invariant measures for the Gross-Piateskii equation , J. Math Pures Appl. 76, 1997, 649-702. | MR | Zbl
,[B5] Quasi-periodic solutions of Hamiltonian perturbations of 2D linear Schrödinger equations, Annals of Math, (to appear). | MR | Zbl
,[B6] 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] The Cauchy problem for the critical nonlinear Schrödinger equation in HS, Nonlinear Anal., TMA 14 (1990), 807-836. | MR | Zbl
, ,[Cr-Wa] Newton's method and periodic solutions of nonlinear wave equations , CPAM 46 ( 1993 ),1409-1501. | Zbl
, ,[GV] On a class of nonlinear Schrödinger equations I, II, III, JFA 32 ( 1979),1-71; Ann. Inst. - Phys. Th. 28 (1978), 287-316. | Numdam | MR | Zbl
, ,[F-S-Wi] Localization for a class of one dimensional quasi-periodic Schrödinger operators, CMP 132, N1 (1990), 5-25. | MR | Zbl
, , ,[F-S-Wa] Localization in disordered, nonlinear dynamical systems, J. Stat. Ph. 42 (1986), 257-275. | MR | Zbl
, , ,[Ja] Notes (1994).
,[K] Nearly integrable infinite-dimensional Hamiltonian systems, LNM 1556, Springer. | Zbl
,[K-P] Invariant Cantor manifolds of quasi-periodic oscillations for a nonlinear Schrödinger equation, Annals of Math 143:1 (1996), 149-179. | MR | Zbl
, ,[B-S] Statistical mechanics of the 2-dimensional focusing nonlinear Schrödinger equation, CMP ( 1996) 182, 485-504. | MR | Zbl
, ,[L-R-S, 1, 2] 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
, , ,