Sobolev spaces, Pure and Applied Mathematics, vol.65, issue.1, 1975. ,
Isoperimetric inequalities and applications, 1980. ,
Nonexistence of asymptotically free solutions for a nonlinear Schr??dinger equation, Journal of Mathematical Physics, vol.25, issue.11, pp.3270-3273, 1984. ,
DOI : 10.1063/1.526074
CONVERGENCE TO SCATTERING STATES IN THE NONLINEAR SCHR??DINGER EQUATION, Communications in Contemporary Mathematics, vol.03, issue.03, pp.403-418, 2001. ,
DOI : 10.1142/S0219199701000421
Necessary conditions and sufficient conditions for global existence in the nonlinear Schrödinger equation, Adv. Math. Sci. Appl, vol.12, issue.2, pp.817-827, 2002. ,
Maximum decay rate for the nonlinear Schr???dinger equation, Nonlinear Differential Equations and Applications NoDEA, vol.11, issue.4, pp.451-467, 2004. ,
DOI : 10.1007/s00030-004-2003-7
Instabilité desétatsdesétats stationnaires dans leséquationsleséquations de Schrödinger et de Klein-Gordon non linéaires, C. R. Acad. Sci. Paris Sér. I Math, vol.293, issue.9, pp.489-492, 1981. ,
´ Equations de champs scalaires euclidiens non linéaires dans le plan, C. R. Acad. Sci. Paris Sér. I Math, vol.297, issue.5, pp.307-310, 1983. ,
Nonlinear scalar field equations, I existence of a ground state, Archive for Rational Mechanics and Analysis, vol.82, issue.4, pp.313-345, 1983. ,
DOI : 10.1007/BF00250555
Nonlinear scalar field equations, II existence of infinitely many solutions, Archive for Rational Mechanics and Analysis, vol.82, issue.4, pp.347-375, 1983. ,
DOI : 10.1007/BF00250556
Interpolation spaces. An introduction, 1976. ,
Scattering in the energy space and below for 3D NLS, Journal d'Analyse Math??matique, vol.30, issue.1, pp.267-297, 1998. ,
DOI : 10.1007/BF02788703
Global wellposedness of defocusing critical nonlinear Schrödinger equation in the radial case, Journal of the American Mathematical Society, vol.12, issue.01, pp.145-171, 1999. ,
DOI : 10.1090/S0894-0347-99-00283-0
Analyse fonctionnelle. Théorie et applications, 1983. ,
Nonlinear evolution equations ,
Stability and instability of stationary states in nonlinear Schrödinger equations In Contributions to nonlinear partial differential equations I, Research Notes in Mathematics, vol.89, pp.123-129, 1983. ,
Blow-up and scattering in the nonlinear Schrödinger equation, of Textos de Métodos Matemáticos. Instituto de Matemática, 1996. ,
An introduction to nonlinear Schrödinger equations, 1996. ,
An introduction to semilinear evolution equations, 1998. ,
The Cauchy problem for the nonlinear Schr??dinger equation in H1, Manuscripta Mathematica, vol.110, issue.4, pp.477-494, 1988. ,
DOI : 10.1007/BF01258601
Some remarks on the nonlinear Schr??dinger equation in the critical case, Nonlinear semigroups, Partial Differential Equations and Attractors, pp.18-29, 1989. ,
DOI : 10.1007/BF01212420
Some remarks on the nonlinear Schr??dinger equation in the subcritical case, New Methods and Results in Nonlinear Field Equations, pp.59-69, 1989. ,
DOI : 10.1007/BFb0025761
The Cauchy problem for the critical nonlinear Schrödinger equation in H s . Nonlinear Anal, pp.807-836, 1990. ,
Rapidly decaying solutions of the nonlinear Schr??dinger equation, Communications in Mathematical Physics, vol.96, issue.1, pp.75-100, 1992. ,
DOI : 10.1007/BF02099529
Asymptotically self-similar global solutions of the nonlinear Schr??dinger and heat equations, Mathematische Zeitschrift, vol.228, issue.1, pp.83-120, 1998. ,
DOI : 10.1007/PL00004606
More self-similar solutions of the nonlinear Schr??dinger equation, NoDEA : Nonlinear Differential Equations and Applications, vol.5, issue.3, pp.355-365, 1998. ,
DOI : 10.1007/s000300050050
Scattering Theory and Self-Similar Solutions for the Nonlinear Schr??dinger Equation, SIAM Journal on Mathematical Analysis, vol.31, issue.3, pp.625-650, 2000. ,
DOI : 10.1137/S0036141099351309
Second order elliptic equations and elliptic systems, volume 174 of Translations of Mathematical Monographs, 1998. ,
Variational problems related to self-similar solutions of the heat equation, Nonlinear Analysis: Theory, Methods & Applications, vol.11, issue.10, pp.1103-1133, 1987. ,
DOI : 10.1016/0362-546X(87)90001-0
Symmetry of positive solutions of nonlinear elliptic equations in R N, Mathematical analysis and applications, Part A, pp.369-402, 1981. ,
Elliptic partial differential equations of second order, 1983. ,
On a class of nonlinear Schrödinger equations. III. Special theories in dimensions 1, 2 and 3, pp.287-316, 1978. ,
On a class of nonlinear Schr??dinger equations. I. The Cauchy problem, general case, Journal of Functional Analysis, vol.32, issue.1, pp.1-32, 1979. ,
DOI : 10.1016/0022-1236(79)90076-4
On a class of nonlinear Schr??dinger equations. II. Scattering theory, general case, Journal of Functional Analysis, vol.32, issue.1, pp.33-71, 1979. ,
DOI : 10.1016/0022-1236(79)90077-6
On a class of non linear Schr???dinger equations with non local interaction, Mathematische Zeitschrift, vol.16, issue.2, pp.109-136, 1980. ,
DOI : 10.1007/BF01214768
On the global Cauchy problem for some non linear Schr??dinger equations, Annales de l'Institut Henri Poincare (C) Non Linear Analysis, vol.1, issue.4, pp.309-323, 1984. ,
DOI : 10.1016/S0294-1449(16)30425-5
The global Cauchy problem for the non linear Schr??dinger equation revisited, Annales de l'Institut Henri Poincare (C) Non Linear Analysis, vol.2, issue.4, pp.309-327, 1985. ,
DOI : 10.1016/S0294-1449(16)30399-7
Scattering theory in the energy space for a class of nonlinear Schrödinger equations, J. Math. Pures Appl, vol.64, issue.94, pp.363-401, 1985. ,
Time decay of finite energy solutions of the nonlinear Klein-Gordon and Schrödinger equations, Ann. Inst. H. Poincaré Phys. Théor, vol.43, issue.4, pp.399-442, 1985. ,
On the blowing up of solutions to the Cauchy problem for nonlinear Schr??dinger equations, Journal of Mathematical Physics, vol.18, issue.9, pp.1794-1797, 1977. ,
DOI : 10.1063/1.523491
Large time behavior of solutions to the Landau- Ginzburg type equations, Mathematical and numerical aspects of wave propagation, pp.315-319, 2000. ,
Large-time behaviour of solutions to the dissipative nonlinear Schr??dinger equation, Proceedings of the Royal Society of Edinburgh: Section A Mathematics, vol.130, issue.05, pp.1029-1043, 2000. ,
DOI : 10.1017/S0308210500000561
On solutions of the initial value problem for the nonlinear Schr???dinger equations in one space dimension, Mathematische Zeitschrift, vol.34, issue.4, pp.637-650, 1986. ,
DOI : 10.1007/BF01162710
On solutions of the initial value problem for the nonlinear Schr??dinger equations, Journal of Functional Analysis, vol.71, issue.2, pp.218-245, 1987. ,
DOI : 10.1016/0022-1236(87)90002-4
Nonlinear Schrödinger equations in weighted Sobolev spaces, Funkc. Ekvacioj, Ser. Int, vol.31, issue.3, pp.363-381, 1988. ,
Asymptotics for large time of solutions to the nonlinear Schrodinger and Hartree equations, American Journal of Mathematics, vol.120, issue.2, pp.369-389, 1998. ,
DOI : 10.1353/ajm.1998.0011
Synopsis, Proceedings of the Royal Society of Edinburgh: Section A Mathematics, vol.23, issue.04, pp.763-782, 1993. ,
DOI : 10.1137/1032046
On the Infinitely Many Solutions of a Semilinear Elliptic Equation, SIAM Journal on Mathematical Analysis, vol.17, issue.4, pp.803-835, 1986. ,
DOI : 10.1137/0517059
On nonlinear Schrödinger equations, Ann. Inst. H. Poincaré Phys. Théor, vol.46, issue.1, pp.113-129, 1987. ,
Nonlinear Schr??dinger equations, Schrödinger operators, pp.218-263, 1989. ,
DOI : 10.1007/3-540-51783-9_22
An L q,r -theory for nonlinear Schrödinger equations, Spectral and scattering theory and applications, pp.223-238, 1994. ,
IntroductionàIntroductionà la théorie des points critiques et applications auxprobì emes elliptiques, 1993. ,
Self-similar solutions of the pseudo-conformally invariant nonlinear Schrödinger equation. Michigan Math, J, vol.41, issue.1, pp.151-173, 1994. ,
Endpoint Strichartz estimates, American Journal of Mathematics, vol.120, issue.5, pp.955-980, 1998. ,
DOI : 10.1353/ajm.1998.0039
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.114.3850
Spatial Structure of the Focusing Singularity of the Nonlinear Schr??dinger Equation: A Geometrical Analysis, SIAM Journal on Applied Mathematics, vol.55, issue.5, pp.1297-1323, 1995. ,
DOI : 10.1137/S0036139994262386
Uniqueness of positive solutions of ?u ? u + u p = 0 in R N, Arch. Rational Mech. Anal, vol.105, issue.3, pp.243-266, 1989. ,
Decay and scattering of solutions of a nonlinear Schr??dinger equation, Journal of Functional Analysis, vol.30, issue.2, pp.245-263, 1978. ,
DOI : 10.1016/0022-1236(78)90073-3
Blow-up for the nonlinear Schr??dinger equation in nonisotropic spaces, Nonlinear Analysis: Theory, Methods & Applications, vol.28, issue.12, pp.1903-1908, 1997. ,
DOI : 10.1016/S0362-546X(96)00036-3
Decay and scattering of solutions of a nonlinear relativistic wave equation, Communications on Pure and Applied Mathematics, vol.114, issue.1, pp.1-31, 1972. ,
DOI : 10.1002/cpa.3160250103
Energy Scattering for Nonlinear Klein???Gordon and Schr??dinger Equations in Spatial Dimensions 1 and 2, Journal of Functional Analysis, vol.169, issue.1, pp.201-225, 1999. ,
DOI : 10.1006/jfan.1999.3503
Remarks on the energy scattering for nonlinear Klein-Gordon and Schr??dinger equations, Tohoku Mathematical Journal, vol.53, issue.2, pp.285-303, 2001. ,
DOI : 10.2748/tmj/1178207482
Asymptotic profiles of blow-up solutions of the nonlinear Schrödinger, Singularities in Fluids, Plasmas and Optics, NATO ASI series Kluwer, pp.221-253, 1993. ,
Asymptotic profiles of blow-up solutions of the nonlinear Schr??dinger equation with critical power nonlinearity, Journal of the Mathematical Society of Japan, vol.46, issue.4, pp.557-586, 1994. ,
DOI : 10.2969/jmsj/04640557
Limiting profiles of blow-up solutions of the nonlinear Schrödinger equation with critical power nonlinearity, Proc. Japan Acad, pp.171-175, 1997. ,
Asymptotic and limiting profiles of blowup solutions of the nonlinear Schr???dinger equation with critical power, Communications on Pure and Applied Mathematics, vol.41, issue.2, pp.193-270, 1999. ,
DOI : 10.1002/(SICI)1097-0312(199902)52:2<193::AID-CPA2>3.0.CO;2-3
Blow-up of H1 solution for the nonlinear Schr??dinger equation, Journal of Differential Equations, vol.92, issue.2, pp.317-330, 1991. ,
DOI : 10.1016/0022-0396(91)90052-B
Blow-up of H 1 solutions for the one-dimensional nonlinear Schrödinger equation with critical power nonlinearity, Proc. Amer, pp.487-496, 1991. ,
Nonlinear Scattering Theory, Scattering Theory in Mathematical Physics, pp.53-78, 1974. ,
DOI : 10.1007/978-94-010-2147-0_3
Existence of solitary waves in higher dimensions, Communications in Mathematical Physics, vol.62, issue.2, pp.149-162, 1977. ,
DOI : 10.1007/BF01626517
Nonlinear scattering theory at low energy, Journal of Functional Analysis, vol.41, issue.1, pp.110-133, 1981. ,
DOI : 10.1016/0022-1236(81)90063-X
URL : http://doi.org/10.1016/0022-1236(81)90063-x
Scattering problem for nonlinear Schrödinger equations, Ann. Inst. H. Poincaré Phys. Théor, vol.43, issue.3, pp.321-347, 1985. ,
L 2 -solutions for nonlinear Schrödinger equations and nonlinear groups, Funkcial. Ekvac, vol.30, issue.1, pp.115-125, 1987. ,
The asymptotic behavior of nonlinear Schr??dinger equations, Bulletin of the American Mathematical Society, vol.11, issue.1, pp.186-188, 1984. ,
DOI : 10.1090/S0273-0979-1984-15263-7
Nonlinear Schr???dinger equations and sharp interpolation estimates, Communications in Mathematical Physics, vol.41, issue.4, pp.567-576, 1983. ,
DOI : 10.1007/BF01208265
On the structure and formation of singularities in solutions to nonlinear dispersive evolution equations, Communications in Partial Differential Equations, vol.41, issue.5, pp.545-565, 1986. ,
DOI : 10.1007/BF01394245