Uniqueness and related analytic properties for the Benjamin-Ono equation-a nonlinear Neumann problem in the plane, Acta Math, vol.167, issue.12, pp.107-126, 1991. ,
Uniqueness of Benjamin's solitary-wave solution of the Benjamin-Ono equation, The Brooke Benjamin special issue, vol.46, issue.1-2, pp.21-28, 1989. ,
Mathematical methods of classical mechanics, Graduate Texts in Mathematics, p.60, 1978. ,
Conformal flow on S 3 and weak field integrability in AdS 4, Comm. Math. Phys, vol.353, issue.3, pp.1179-1199, 2017. ,
, Ground state of the conformal flow on S 3, 2017.
Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations, Geometric and Functional Analysis, vol.3, issue.3, pp.209-262, 1993. ,
DOI : 10.1007/bf01896020
On the growth in time of higher Sobolev norms of smooth solutions of Hamiltonian PDE, Internat. Math. Res. Notices, vol.72, issue.6, pp.277-304, 1996. ,
Problems in Hamiltonian PDE's, Geom. Funct. Anal., Special, pp.32-56, 1999. ,
Nonlinear Schrödinger evolution equations, Nonlinear Anal, vol.4, issue.4, pp.677-681, 1980. ,
Bilinear eigenfunction estimates and the nonlinear Schrödinger equation on surfaces, Invent. Math, vol.159, issue.1, pp.187-223, 2005. ,
DOI : 10.1007/s00222-004-0388-x
URL : http://arxiv.org/pdf/math/0308214
Multilinear eigenfunction estimates and global existence for the three dimensional nonlinear schrödinger equations, Annales scientifiques de l'Ecole normale supérieure, vol.38, pp.255-301, 2005. ,
Transfer of energy to high frequencies in the cubic defocusing nonlinear Schrödinger equation, Invent. Math, vol.181, issue.1, pp.39-113, 2010. ,
Existence and uniqueness theory for the fractional Schrödinger equation on the torus, Some topics in harmonic analysis and applications, vol.34, pp.145-162, 2016. ,
Global well-posedness and scattering for the defocusing, L 2-critical, nonlinear Schrödinger equation when d = 2, Duke Math. J, vol.165, issue.18, pp.3435-3516, 2016. ,
DOI : 10.1353/ajm.2016.0016
URL : http://arxiv.org/pdf/1006.1375
On the cubic lowest Landau level equation, 2017. ,
The cubic Szeg? equation, Ann. Sci. Éc. Norm. Supér, vol.43, issue.4, pp.761-810, 2010. ,
Effective integrable dynamics for a certain nonlinear wave equation, Anal. PDE, vol.5, issue.5, pp.1139-1155, 2012. ,
Invariant tori for the cubic Szeg? equation, Invent. Math, vol.187, issue.3, pp.707-754, 2012. ,
On the growth of Sobolev norms for the cubic Szeg? equation. Séminaire Laurent Schwartz-EDP et applications, vol.20, p.p, 2014. ,
An explicit formula for the cubic Szeg? equation, Transactions of the American Mathematical Society, vol.367, issue.4, pp.2979-2995, 2015. ,
The cubic Szeg? equation and Hankel operators, Astérisque, issue.389, p.112, 2017. ,
The cubic Szeg? flow at low regularity, Séminaire Laurent Schwartz-Équations aux dérivées partielles et applications. Année, 2016. ,
A Lax pair structure for the half-wave maps equation, Letters in Mathematical Physics, pp.1-14, 2018. ,
A Two-Soliton with Transient Turbulent Regime for the Cubic Half-Wave Equation on the Real Line, Ann. PDE, vol.4, issue.1, 2018. ,
Le problème de Cauchy pour des EDP semi-linéaires périodiques en variables d'espace (d'après Bourgain), Exp. No. 796, vol.4, p.95, 1994. ,
Stable two-dimensional parametric solitons in fluid systems, Physics Letters A, vol.248, issue.2, pp.208-218, 1998. ,
DOI : 10.1016/s0375-9601(98)00658-6
The defocusing NLS equation and its normal form, EMS Series of Lectures in Mathematics, 2014. ,
Resonant dynamics for the quintic nonlinear Schrödinger equation, Ann. Inst. H. Poincaré Anal. Non Linéaire, vol.29, issue.3, pp.455-477, 2012. ,
Growth of Sobolev norms in the cubic defocusing nonlinear Schrödinger equation, J. Eur. Math. Soc. (JEMS), vol.17, issue.1, pp.71-149, 2015. ,
Growth of Sobolev norms in the cubic defocusing nonlinear Schrödinger equation ,
, Math. Soc. (JEMS), vol.19, issue.2, pp.601-602, 2017.
Long-time instability and unbounded Sobolev orbits for some periodic nonlinear Schrödinger equations, Arch. Ration. Mech. Anal, vol.211, issue.3, pp.929-964, 2014. ,
Modified scattering for the cubic Schrödinger equation on product spaces and applications, Forum Math. Pi, vol.3, p.4, 2015. ,
Growth of Sobolev norms for the quintic NLS on T 2, Anal. PDE, vol.8, issue.4, pp.883-922, 2015. ,
KAM for beating solutions of the quintic NLS, Comm. Math. Phys, vol.354, issue.3, pp.1101-1132, 2017. ,
On a system of nonlinear Schrödinger equations with quadratic interaction. Annales de l'Institut Henri Poincaré / Analyse non linéaire, vol.30, pp.661-690, 2013. ,
Winkel-und Wirkungsvariable für allgemeine mechanische Systeme, Helvetica Physica Acta, vol.41, issue.6-7, pp.965-968, 1968. ,
, Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge. A Series of Modern Surveys in Mathematics [Results in Mathematics and Related Areas, vol.45
, , 2003.
Scattering-like phenomena of the periodic defocusing NLS equation, Math. Res. Lett, vol.24, issue.3, pp.803-826, 2017. ,
Scattering for ? H 1/2 bounded solutions to the cubic, defocusing NLS in 3 dimensions, Trans. Amer. Math. Soc, vol.362, issue.4, pp.1937-1962, 2010. ,
Well-posedness and scattering results for the generalized Korteweg-de Vries equation via the contraction principle, Comm. Pure Appl. Math, vol.46, issue.4, pp.527-620, 1993. ,
Bright and dark spatial solitons in non-kerr media, Optical and Quantum Electronics, vol.30, issue.7, pp.571-614, 1998. ,
Conserved energies for the cubic NLS in 1, 2016. ,
Integrals of nonlinear equations of evolution and solitary waves, Comm. Pure Appl. Math, vol.21, pp.467-490, 1968. ,
On energy-critical half-wave maps into S 2. Inventiones mathematicae, 2018. ,
Asymptotic decay for a one-dimensional nonlinear wave equation, Anal. PDE, vol.5, issue.2, pp.411-422, 2012. ,
Note sur l'intégration des équations différentielles de la dynamique, Journal de Mathématiques pures et appliquées, vol.20, pp.137-138, 1855. ,
A one-dimensional model for dispersive wave turbulence, J. Nonlinear Sci, vol.7, issue.1, pp.9-44, 1997. ,
Réduction des systèmes mécaniques à n degrés de liberté admettant n intégrales premières uniformes en involution aux systèmes à variables séparées, J. Math. Pures Appl, vol.15, issue.9, pp.385-389, 1936. ,
On bounded bilinear forms, Annals of Mathematics, vol.65, pp.153-162, 1957. ,
An improvement on the Brezis-Gallouët technique for 2D NLS and 1D half-wave equation, Ann. Inst. H. Poincaré Anal. Non Linéaire, vol.33, issue.4, pp.1069-1079, 2016. ,
Hankel operators and their applications, 2012. ,
On the growth of Sobolev norms for NLS on 2-and 3-dimensional manifolds, Anal. PDE, vol.10, issue.5, pp.1123-1147, 2017. ,
Explicit formula for the solution of the Szeg? equation on the real line and applications, Discrete Contin. Dyn. Syst, vol.31, issue.3, pp.607-649, 2011. ,
Traveling waves for the cubic Szeg? equation on the real line, Anal. PDE, vol.4, issue.3, pp.379-404, 2011. ,
Soliton interaction with small Toeplitz potentials for the Szegö equation on R, Dyn. Partial Differ. Equ, vol.9, issue.1, pp.1-27, 2012. ,
Real and complex analysis, 1987. ,
Global well-posedness and scattering for the defocusing energy-critical nonlinear Schrödinger equation in R 1+4, Amer. J. Math, vol.129, issue.1, pp.1-60, 2007. ,
On the growth of high Sobolev norms of solutions for KdV and Schrödinger equations, Duke Math. J, vol.86, issue.1, pp.109-142, 1997. ,
Harmonic analysis : real-variable methods, orthogonality, and oscillatory integrals, Princeton Mathematical Series, vol.43, 1993. ,
Nonlinear dispersive equations, CBMS Regional Conference Series in Mathematics. Published for the Conference Board of the Mathematical Sciences, vol.106, 2006. ,
On the growth of Sobolev norms of solutions of the fractional defocusing NLS equation on the circle, Ann. Inst. H. Poincaré Anal. Non Linéaire, vol.34, issue.2, pp.509-531, 2017. ,
Optimal bounds for the growth of Sobolev norms of solutions of a quadratic Szeg? equation, 2017. ,
About the quadratic Szeg? hierarchy, 2018. ,
Classification of traveling waves for a quadratic Szeg? equation, 2018. ,
On smooth solutions to the initial-boundary value problem for the nonlinear Schrödinger equation in two space dimensions, Nonlinear Analysis : Theory, Methods & Applications, vol.13, pp.1051-1056, 1989. ,
Simplicity and finiteness of discrete spectrum of the Benjamin-Ono scattering operator, SIAM J. Math. Anal, vol.48, issue.2, pp.1348-1367, 2016. ,
Large time blowup for a perturbation of the cubic Szeg? equation, Analysis & PDE, vol.7, issue.3, pp.717-731, 2014. ,
The cubic Szeg? equation with a linear perturbation, 2015. ,
URL : https://hal.archives-ouvertes.fr/hal-01182835
Unbounded Sobolev trajectories and modified scattering theory for a wave guide nonlinear Schrödinger equation, Math. Z, vol.286, issue.1-2, pp.443-489, 2017. ,
Wave turbulence in onedimensional models. Phys. D, Advances in nonlinear mathematics and science, vol.152, pp.573-619, 2001. ,
Exact theory of two-dimensional self-focusing and one-dimensional self-modulation of waves in nonlinear media, ?. Èksper. Teoret. Fiz, vol.61, issue.1, pp.118-134, 1971. ,
Solitons in a continuous classical Haldane-Shastry spin chain, Phys. Lett. A, vol.379, pp.2817-2825, 2015. ,