Gigliola Staffilani

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All published works
Action Title Year Authors
+ PDF Chat Well-posedness and invariant measures for complex valued modified KdV equation 2025 Carlos E. Kenig
Andrea R. Nahmod
Nataơa Pavlović
Gigliola Staffilani
Nicola Visciglia
+ Well-posedness and regularity properties of 2d $$\beta $$-plane stochastic Navier–Stokes equations in a periodic channel 2024 Yuri Cacchió
Amirali Hannani
Gigliola Staffilani
+ PDF Chat Non-radial implosion for the defocusing nonlinear Schr\"odinger equation in $\mathbb{T}^d$ and $\mathbb{R}^d$ 2024 Gonzalo Cao-Labora
Javier GĂłmez-Serrano
Jia Shi
Gigliola Staffilani
+ PDF Chat On the energy transfer towards large values of wavenumbers for solutions of 4-wave kinetic equations 2024 Gigliola Staffilani
Minh-Binh Tran
+ PDF Chat Condensation and non-condensation times for 4-wave kinetic equations 2024 Gigliola Staffilani
Minh-Binh Tran
+ PDF Chat On Decaying Properties of Nonlinear Schrödinger Equations 2024 Chenjie Fan
Gigliola Staffilani
Zehua Zhao
+ PDF Chat Modified scattering for the cubic Schr\"odinger equation on Diophantine waveguides 2024 Nicolas Camps
Gigliola Staffilani
+ The Wave Maps Equation and Brownian Paths 2024 Bjoern Bringmann
Jonas LĂŒhrmann
Gigliola Staffilani
+ PDF Trend to Equilibrium for Flows With Random Diffusion 2024 Shrey Aryan
Matthew Rosenzweig
Gigliola Staffilani
+ PDF Large deviations principle for the cubic NLS equation 2023 Miguel Angel Garrido
Ricardo Grande
Kristin M. Kurianski
Gigliola Staffilani
+ PDF Chat Probabilistic Small Data Global Well-Posedness of the Energy-Critical Maxwell–Klein–Gordon Equation 2023 Joachim Krieger
Jonas LĂŒhrmann
Gigliola Staffilani
+ On the wave turbulence theory for the beam wave equation 2023 Gigliola Staffilani
Minh-Binh Tran
+ On the effect of the Coriolis force on the enstrophy cascade 2023 Yuri Cacchio’
Amirali Hannani
Gigliola Staffilani
+ Trend to equilibrium for flows with random diffusion 2023 Shrey Aryan
Matthew Rosenzweig
Gigliola Staffilani
+ PDF A rigorous derivation of the Hamiltonian structure for the Vlasov equation 2023 Joseph K. Miller
Andrea R. Nahmod
Nataơa Pavlović
Matthew Rosenzweig
Gigliola Staffilani
+ Non-radial implosion for compressible Euler and Navier-Stokes in $\mathbb{T}^3$ and $\mathbb{R}^3$ 2023 Gonzalo Cao-Labora
Javier GĂłmez-Serrano
Jia Shi
Gigliola Staffilani
+ PDF Global solutions of aggregation equations and other flows with random diffusion 2022 Matthew Rosenzweig
Gigliola Staffilani
+ PDF Poisson commuting energies for a system of infinitely many bosons 2022 Dana Mendelson
Andrea R. Nahmod
Nataơa Pavlović
Matthew Rosenzweig
Gigliola Staffilani
+ PDF Chat Uniqueness of solutions to the spectral hierarchy in kinetic wave turbulence theory 2022 Matthew Rosenzweig
Gigliola Staffilani
+ A rigorous derivation of the Hamiltonian structure for the Vlasov equation 2022 Joseph K. Miller
Andrea R. Nahmod
Nataơa Pavlović
Matthew Rosenzweig
Gigliola Staffilani
+ On the wave turbulence theory for a stochastic KdV type equation -- Generalization for the inhomogeneous kinetic limit 2022 Amirali Hannani
Matthew Rosenzweig
Gigliola Staffilani
Minh-Binh Tran
+ On decaying properties of nonlinear Schrödinger equations 2022 Chenjie Fan
Gigliola Staffilani
Zehua Zhao
+ PDF Chat The wave maps equation and Brownian paths 2021 Bjoern Bringmann
Jonas LĂŒhrmann
Gigliola Staffilani
+ PDF Smoothing effect for time-degenerate Schrödinger operators 2021 Serena Federico
Gigliola Staffilani
+ Energy transfer for solutions to the nonlinear Schr\"odinger equation on irrational tori 2021 Alexander Hrabski
Yulin Pan
Gigliola Staffilani
Bobby Wilson
+ Sharp Strichartz estimates for some variable coefficient Schr\"{o}dinger operators on $\mathbb{R}\times\mathbb{T}^2$ 2021 Serena Federico
Gigliola Staffilani
+ On the wave turbulence theory for stochastic and random multidimensional KdV type equations 2021 Gigliola Staffilani
Minh-Binh Tran
+ PDF On the nonlinear Dysthe equation 2021 Ricardo Grande
Kristin M. Kurianski
Gigliola Staffilani
+ Sharp Strichartz estimates for some variable coefficient Schrödinger operators on $ \mathbb{R}\times\mathbb{T}^2 $ 2021 Serena Federico
Gigliola Staffilani
+ On the wave turbulence theory for a stochastic KdV type equation 2021 Gigliola Staffilani
Minh-Binh Tran
+ Global solutions of aggregation equations and other flows with random diffusion 2021 Matthew Rosenzweig
Gigliola Staffilani
+ The wave maps equation and Brownian paths 2021 Bjoern Bringmann
Jonas LĂŒhrmann
Gigliola Staffilani
+ Energy transfer for solutions to the nonlinear Schrödinger equation on irrational tori 2021 Alexander Hrabski
Yulin Pan
Gigliola Staffilani
Bobby L. Wilson
+ PDF On the high–low method for NLS on the hyperbolic space 2020 Gigliola Staffilani
Xueying Yu
+ On the nonlinear Dysthe equation. 2020 Ricardo Grande
Kristin M. Kurianski
Gigliola Staffilani
+ PDF 2D-defocusing nonlinear Schrödinger equation with random data on irrational tori 2020 Chenjie Fan
Yumeng Ou
Gigliola Staffilani
Hong Wang
+ PDF A rigorous derivation of the Hamiltonian structure for the nonlinear Schrödinger equation 2020 Dana Mendelson
Andrea R. Nahmod
Nataơa Pavlović
Matthew Rosenzweig
Gigliola Staffilani
+ PDF Pointwise Convergence of the Schrödinger Flow 2020 E. Compaan
Renato LucĂ 
Gigliola Staffilani
+ Smoothing effect for time-degenerate Schr\"odinger operators 2020 Serena Federico
Gigliola Staffilani
+ Revisitation of a Tartar's result on a semilinear hyperbolic system with null condition 2020 Roberta Bianchini
Gigliola Staffilani
+ PDF Stability of the Cubic Nonlinear Schrodinger Equation on an Irrational Torus 2020 Gigliola Staffilani
Bobby Wilson
+ PDF Almost sure boundedness of iterates for derivative nonlinear wave equations 2020 Sagun Chanillo
Magdalena Czubak
Dana Mendelso
Andrea R. Nahmod
Gigliola Staffilani
+ On the nonlinear Dysthe equation 2020 Ricardo Grande
Kristin M. Kurianski
Gigliola Staffilani
+ Probabilistic small data global well-posedness of the energy-critical Maxwell-Klein-Gordon equation 2020 Joachim Krieger
Jonas LĂŒhrmann
Gigliola Staffilani
+ Poisson Commuting Energies for a System of Infinitely Many Bosons 2019 Dana Mendelson
Andrea R. Nahmod
Nataơa Pavlović
Matthew Rosenzweig
Gigliola Staffilani
+ A Rigorous Derivation of the Hamiltonian Structure for the Nonlinear Schr\"odinger Equation 2019 Dana Mendelson
Andrea R. Nahmod
Nataơa Pavlović
Matthew Rosenzweig
Gigliola Staffilani
+ PDF Randomness and Nonlinear Evolution Equations 2019 Andrea R. Nahmod
Gigliola Staffilani
+ Pointwise Convergence of the Schrödinger Flow 2019 E. Compaan
Renato LucĂ 
Gigliola Staffilani
+ 2D-Defocusing Nonlinear Schrödinger Equation with Random Data on Irrational Tori 2019 Chenjie Fan
Yumeng Ou
Gigliola Staffilani
Hong Wang
+ A Rigorous Derivation of the Hamiltonian Structure for the Nonlinear Schrödinger Equation 2019 Dana Mendelson
Andrea R. Nahmod
Nataơa Pavlović
Matthew Rosenzweig
Gigliola Staffilani
+ Poisson Commuting Energies for a System of Infinitely Many Bosons 2019 Dana Mendelson
Andrea R. Nahmod
Nataơa Pavlović
Matthew Rosenzweig
Gigliola Staffilani
+ PDF Chat The Surface Quasi-geostrophic Equation With Random Diffusion 2018 Tristan Buckmaster
Andrea R. Nahmod
Gigliola Staffilani
Klaus Widmayer
+ The Surface Quasi-Geostrophic Equation with Random Diffusion 2018 Tristan Buckmaster
Andrea R. Nahmod
Gigliola Staffilani
Klaus Widmayer
+ PDF Internal waves in sheared flows: Lower bound of the vorticity growth and propagation discontinuities in the parameter space 2018 Federico Fraternale
Loris Domenicale
Gigliola Staffilani
Daniela Tordella
+ Stability of the Cubic Nonlinear Schrodinger Equation on Irrational Tori 2018 Gigliola Staffilani
Bobby Wilson
+ PDF On a bilinear Strichartz estimate on irrational tori 2018 Chenjie Fan
Gigliola Staffilani
Sheng Wang
Bobby Wilson
+ Stability of the Cubic Nonlinear Schrodinger Equation on Irrational Tori 2018 Gigliola Staffilani
Bobby L. Wilson
+ The Surface Quasi-Geostrophic Equation with Random Diffusion 2018 Tristan Buckmaster
Andrea R. Nahmod
Gigliola Staffilani
Klaus Widmayer
+ Probabilistic well-posedness for 2D nonlinear wave equations with $Q_{\alpha \beta}$ null forms 2017 Sagun Chanillo
Magdalena Czubak
Dana Mendelson
Andrea R. Nahmod
Gigliola Staffilani
+ Almost sure boundedness of iterates for derivative nonlinear wave equations 2017 Sagun Chanillo
Magdalena Czubak
Dana Mendelson
Andrea R. Nahmod
Gigliola Staffilani
+ PDF Global flows with invariant measures for the inviscid modified SQG equations 2017 Andrea R. Nahmod
Nataơa Pavlović
Gigliola Staffilani
Nathan Totz
+ Global flows with invariant measures for the inviscid modified SQG equations 2017 Andrea R. Nahmod
Nataơa Pavlović
Nathan Totz
Gigliola Staffilani
+ Global Flows with Invariant Measures for the Inviscid Modified SQG Equations 2017 Andrea R. Nahmod
Nataơa Pavlović
Gigliola Staffilani
Nathan Totz
+ Nonlinear Evolution Problems 2017 Klaus Ecker
Jalal Shatah
Gigliola Staffilani
Michaël Struwe
+ Almost sure boundedness of iterates for derivative nonlinear wave equations 2017 Sagun Chanillo
Magdalena Czubak
Dana Mendelson
Andrea R. Nahmod
Gigliola Staffilani
+ Global Flows with Invariant Measures for the Inviscid Modified SQG Equations 2017 Andrea R. Nahmod
Nataơa Pavlović
Gigliola Staffilani
Nathan Totz
+ An infinite sequence of conserved quantities for the cubic Gross-Pitaevskii hierarchy on $\mathbb{R}$ 2016 Dana Mendelson
Andrea R. Nahmod
Nataơa Pavlović
Gigliola Staffilani
+ Lower bound for the enstrophy transient growth of a set of traveling waves propagating in fluids moving between parallel planes 2016 Federico Fraternale
Loris Domenicale
Gigliola Staffilani
Daniela Tordella
+ Small internal waves in sheared flows: lower bound for the vorticity transient growth and propagation bound in the parameter space 2016 Federico Fraternale
Loris Domenicale
Gigliola Staffilani
Daniela Tordella
+ On a bilinear Strichartz estimate on irrational tori and some application 2016 Chenjie Fan
Gigliola Staffilani
Sheng Wang
Bobby Wilson
+ An infinite sequence of conserved quantities for the cubic Gross-Pitaevskii hierarchy on $\mathbb{R}$ 2016 Dana Mendelson
Andrea R. Nahmod
Nataơa Pavlović
Gigliola Staffilani
+ PDF Almost sure well-posedness for the periodic 3D quintic nonlinear Schrödinger equation below the energy space 2015 Andrea R. Nahmod
Gigliola Staffilani
+ PDF Chat Randomization and the Gross–Pitaevskii Hierarchy 2015 Vedran Sohinger
Gigliola Staffilani
+ Randomization and the Gross–Pitaevskii Hierarchy 2015 Vedran Sohinger
Gigliola Staffilani
+ PDF Chat A semi-linear shifted wave equation on the hyperbolic spaces with application on a quintic wave equation on $\mathbb {R}^2$ 2015 Ruipeng Shen
Gigliola Staffilani
+ A semi-linear shifted wave equation on the hyperbolic spaces with application on a quintic wave equation on RÂČ 2015 Ruipeng Shen
Gigliola Staffilani
+ Probabilistic preservation of regularity for periodic nonlinear Schrödinger equations 2015 Andrea R. Nahmod
Gigliola Staffilani
+ On the uniqueness of solutions to the periodic 3D Gross–Pitaevskii hierarchy 2014 Philip T. Gressman
Vedran Sohinger
Gigliola Staffilani
+ A Semi-linear Shifted Wave Equation on the Hyperbolic Spaces with Application on a Quintic Wave Equation on ${\mathbb R}^2$ 2014 Ruipeng Shen
Gigliola Staffilani
+ Almost sure well-posedness for the periodic 3D quintic nonlinear Schr\"odinger equation below the energy space 2013 Andrea R. Nahmod
Gigliola Staffilani
+ Nonlinear Evolution Problems 2013 Klaus Ecker
Jalal Shatah
Gigliola Staffilani
Michaël Struwe
+ PDF Almost Sure Existence of Global Weak Solutions for Supercritical Navier--Stokes Equations 2013 Andrea R. Nahmod
Nataơa Pavlović
Gigliola Staffilani
+ Almost Sure Existence of Global Weak Solutions for Supercritical Navier--Stokes Equations 2013 Andrea R. Nahmod
Nataơa Pavlović
Gigliola Staffilani
+ Almost sure well-posedness for the periodic 3D quintic nonlinear Schrödinger equation below the energy space 2013 Andrea R. Nahmod
Gigliola Staffilani
+ PDF On the global well-posedness of energy-critical Schrödinger equations in curved spaces 2012 Alexandru D. Ionescu
BenoĂźt Pausader
Gigliola Staffilani
+ PDF Chat On the Continuum Limit for Discrete NLS with Long-Range Lattice Interactions 2012 Kay Kirkpatrick
Enno Lenzmann
Gigliola Staffilani
+ PDF Invariant weighted Wiener measures and almost sure global well-posedness for the periodic derivative NLS 2012 Andrea R. Nahmod
Tadahiro Oh
Luc Rey-Bellet
Gigliola Staffilani
+ Almost sure existence of global weak solutions for super-critical Navier-Stokes equations 2012 Andrea R. Nahmod
Nataơa Pavlović
Gigliola Staffilani
+ Almost sure existence of global weak solutions for super-critical Navier-Stokes equations 2012 Andrea R. Nahmod
Nataơa Pavlović
Gigliola Staffilani
+ Absolute continuity of Brownian bridges under certain gauge transformations 2011 Andrea R. Nahmod
Luc Rey-Bellet
Scott Sheffield⋆
Gigliola Staffilani
+ PDF Derivation of the two-dimensional nonlinear Schrödinger equation from many body quantum dynamics 2011 Kay Kirkpatrick
Benjamin Schlein
Gigliola Staffilani
+ PDF Absolute Continuity of Brownian Bridges Under Certain Gauge Transformations 2011 Andrea R. Nahmod
Luc Rey-Bellet
Scott Sheffield⋆
Gigliola Staffilani
+ Absolute continuity of Brownian bridges under certain gauge transformations 2011 Andrea R. Nahmod
Luc Rey-Bellet
Scott Sheffield⋆
Gigliola Staffilani
+ Correction to “Global Well-Posedness and Polynomial Bounds for the Defocusing<i>L</i><sup>2</sup>-Critical Nonlinear Schrödinger Equation in ℝ” 2010 Daniela De Silva
Nataơa Pavlović
Gigliola Staffilani
Nikolaos Tzirakis
+ PDF Chat Strichartz Estimates for the Water-Wave Problem with Surface Tension 2010 Hans Christianson
Vera Mikyoung Hur
Gigliola Staffilani
+ On the global well-posedness of energy-critical Schr\"odinger equations in curved spaces 2010 Alexandru D. Ionescu
BenoĂźt Pausader
Gigliola Staffilani
+ Invariant weighted Wiener measures and almost sure global well-posedness for the periodic derivative NLS 2010 Andrea R. Nahmod
Tadahiro Oh
Luc Rey-Bellet
Gigliola Staffilani
+ Transfer of energy to high frequencies in the cubic defocusing nonlinear Schrodinger equation 2010 J. Colliander
M. Keel
Gigliola Staffilani
Hideo Takaoka
Terence Tao
+ The Cauchy problem for Schrödinger flows into KÀhler manifolds 2010 Tatiana Toro
Gigliola Staffilani
Daniel Pollack
Tobias Lamm
Carlos E. Kenig
+ INVARIANT WEIGHTED WIENER MEASURES AND ALMOST SURE GLOBAL WELL-POSEDNESS FOR THE PERIODIC DERIVATIVE NLS. 2010 Andrea R. Nahmod
Tadahiro Oh
Luc Rey-Bellet
Gigliola Staffilani
+ The Cauchy problem for Schrödinger flows into KÀhler manifolds 2010 Carlos E. Kenig
Tobias Lamm
Daniel Pollack
Gigliola Staffilani
Tatiana Toro
+ On the global well-posedness of energy-critical Schrödinger equations in curved spaces 2010 Alexandru D. Ionescu
BenoĂźt Pausader
Gigliola Staffilani
+ Invariant weighted Wiener measures and almost sure global well-posedness for the periodic derivative NLS 2010 Andrea R. Nahmod
Tadahiro Oh
Luc Rey-Bellet
Gigliola Staffilani
+ The Cauchy problem for Schr\"{o}dinger flows into K\"{a}hler manifolds 2009 Carlos E. Kenig
Tobias Lamm
Daniel Pollack
Gigliola Staffilani
Tatiana Toro
+ PDF On the global well-posedness of the one-dimensional Schrödinger map flow 2009 Igor Rodnianski
Yanir A. Rubinstein
Gigliola Staffilani
+ PDF Chat Semilinear Schrödinger flows on hyperbolic spaces: scattering in H 1 2009 Alexandru D. Ionescu
Gigliola Staffilani
+ PDF Local smoothing effects for the water-wave problem with surface tension 2009 Hans Christianson
Vera Mikyoung Hur
Gigliola Staffilani
+ THE WATER-WAVE PROBLEM WITH SURFACE TENSION 2009 Hans Christianson
Vera Mikyoung Hur
Gigliola Staffilani
+ Strichartz estimates for the water-wave problem with surface tension 2009 Hans Christianson
Vera Mikyoung Hur
Gigliola Staffilani
+ PDF Notes on symplectic non-squeezing of the KdV flow 2008 J. Colliander
M. Keel
Gigliola Staffilani
Hideo Takaoka
T. Tao
+ Global Well-Posedness and Polynomial Bounds for the Defocusing<i>L</i><sup>2</sup>-Critical Nonlinear Schrödinger Equation in ℝ 2008 Daniela De Silva
Nataơa Pavlović
Gigliola Staffilani
Nikolaos Tzirakis
+ PDF Scattering Theory for Radial Nonlinear Schrödinger Equations on Hyperbolic Space 2008 Valeria Banica
RĂ©mi Carles
Gigliola Staffilani
+ PDF Global well-posedness and scattering for the energy-critical Schrödinger equation in ℝ<sup>3</sup> 2008 J. Colliander
M. Keel
Gigliola Staffilani
Hideo Takaoka
Terence Tao
+ Weakly turbulent solutions for the cubic defocusing nonlinear Schrödinger equation 2008 J. Colliander
M. Keel
Gigliola Staffilani
Hideo Takaoka
T. Tao
+ On the global well-posedness of the one-dimensional Schrodinger map flow 2008 Igor Rodnianski
Yanir A. Rubinstein
Gigliola Staffilani
+ PDF Resonant decompositions and the $I$-method for the cubic nonlinear Schrödinger equation on $\mathbb{R}^2$ 2008 J. Colliander
M. Keel
Gigliola Staffilani
Hideo Takaoka
Terry Tao
+ Local smoothing effects for the water-wave problem with surface tension 2008 Hans Christianson
Vera Mikyoung Hur
Gigliola Staffilani
+ Semilinear Schrödinger Flows on Hyperbolic Spaces: Scattering in H^1 2008 Alexandru D. Ionescu
Gigliola Staffilani
+ Derivation of the two dimensional nonlinear Schrodinger equation from many body quantum dynamics 2008 Kay Kirkpatrick
Benjamin Schlein
Gigliola Staffilani
+ PDF Weighted low-regularity solutions of the KP-I initial-value problem 2008 J. Colliander
Alexandru D. Ionescu
Carlos E. Kenig
Gigliola Staffilani
+ PDF Errata to “Low Regularity Solutions for the Kadomtsev–Petviashvili I Equation”, GAFA, Geom. Funct. Anal. 13 (2003), 737-794 2007 J. Colliander
Carlos E. Kenig
Gigliola Staffilani
+ Weighted Low-Regularity Solutions of the KP-I Initial Value Problem 2007 J. Colliander
Alexandru D. Ionescu
Carlos E. Kenig
Gigliola Staffilani
+ Global well-posedness and polynomial bounds for the defocusing $L^{2}$-critical nonlinear Schr\"odinger equation in $\R$ 2007 Daniela De Silva
Nataơa Pavlović
Gigliola Staffilani
Nikolaos Tzirakis
+ Resonant decompositions and the I-method for cubic nonlinear Schrodinger on R^2 2007 J. Colliander
M. Keel
Gigliola Staffilani
Hideo Takaoka
Terence Tao
+ PDF Chat Regularity of Solutions to the Navier-Stokes Equations Evolving from Small Data in BMO−1 2007 Pierre Germain
Nataơa Pavlović
Gigliola Staffilani
+ Global well-posedness for the $L^2$ critical nonlinear Schrödinger equation in higher dimensions 2007 Daniela De Silva
Nataơa Pavlović
Gigliola Staffilani
Nikolaos Tzirakis
+ PDF Global well-posedness for a periodic nonlinear Schrödinger equation in 1D and 2D 2007 Daniela De Silva
Nataơa Pavlović
Gigliola Staffilani
Nikolaos Tzirakis
+ Global well-posedness and polynomial bounds for the defocusing $L^{2}$-critical nonlinear Schrödinger equation in $\R$ 2007 Daniela De Silva
Nataơa Pavlović
Gigliola Staffilani
Nikolaos Tzirakis
+ Weighted Low-Regularity Solutions of the KP-I Initial Value Problem 2007 J. Colliander
Alexandru D. Ionescu
Carlos E. Kenig
Gigliola Staffilani
+ Regularity of solutions to the Navier-Stokes equations evolving from small data in BMO^{-1} 2006 Pierre Germain
Nataơa Pavlović
Gigliola Staffilani
+ Scattering theory for radial nonlinear Schr\"{o}dinger equations on hyperbolic space 2006 Valeria Banica
RĂ©mi Carles
Gigliola Staffilani
+ Global Well-Posedness for a periodic nonlinear Schr\"odinger equation in 1D and 2D 2006 Daniela De Silva
Nataơa Pavlović
Gigliola Staffilani
Nikolaos Tzirakis
+ Global Well-Posedness for the $L^2$-critical nonlinear Schrödinger equation in higher dimensions 2006 Daniela De Silva
Nataơa Pavlović
Gigliola Staffilani
Nikolaos Tzirakis
+ Global Well-Posedness for a periodic nonlinear Schrödinger equation in 1D and 2D 2006 Daniela De Silva
Nataơa Pavlović
Gigliola Staffilani
Nikolaos Tzirakis
+ Regularity of solutions to the Navier-Stokes equations evolving from small data in BMO^{-1} 2006 Pierre Germain
Nataơa Pavlović
Gigliola Staffilani
+ Scattering theory for radial nonlinear Schrödinger equations on hyperbolic space 2006 Valeria Banica
RĂ©mi Carles
Gigliola Staffilani
+ PDF Symplectic nonsqueezing of the korteweg-de vries flow 2005 J. Colliander
Gigliola Staffilani
M. Keel
Hideo Takaoka
Terence Tao
+ The Cauchy problem for Schrodinger flows into Kahler manifolds 2005 Carlos E. Kenig
Daniel Pollack
Gigliola Staffilani
Tatiana Toro
+ 18.152 Introduction to Partial Differential Equations, Fall 2004 2004 Gigliola Staffilani
AndrĂĄs Vasy
+ Global existence and scattering for rough solutions of a nonlinear Schrödinger equation on ℝ<sup>3</sup> 2004 J. Colliander
M. Keel
Gigliola Staffilani
Hideo Takaoka
Terence Tao
+ Symplectic nonsqueezing of the KdV flow 2004 J. Colliander
M. Keel
Gigliola Staffilani
Hideo Takaoka
T. Tao
+ On Solutions for the Kadomtsev–Petviashvili I Equation 2004 J. Colliander
Carlos E. Kenig
Gigliola Staffilani
+ Global well-posedness and scattering for the energy-critical nonlinear Schrödinger equation in R^3 2004 Jim Colliander
Mark Keel
Gigliola Staffilani
Hideo Takaoka
Terry Tao
+ PDF Chat Multilinear estimates for periodic KdV equations, and applications 2003 J. Colliander
M. Keel
Gigliola Staffilani
Hideo Takaoka
Terence Tao
+ Low regularity solutions for the Kadomtsev-Petviashvili I equation 2003 J. Colliander
Carlos E. Kenig
Gigliola Staffilani
+ Stability of Solitons for the KdV equation in H^s, 0 <= s< 1 2003 Sarah Raynor
Gigliola Staffilani
+ Sharp global well-posedness for KdV and modified KdV on ℝ and 𝕋 2003 J. Colliander
M. Keel
Gigliola Staffilani
Hideo Takaoka
Terence Tao
+ PDF Chat KdV and almost conservation laws 2003 Gigliola Staffilani
+ PDF Local well-posedness for dispersion-generalized Benjamin-Ono equations 2003 J. Colliander
Carlos E. Kenig
Gigliola Staffilani
+ Polynomial upper bounds for the instability of the nonlinear Schrödinger equation below the energy norm 2003 J. Colliander
M. Keel
Gigliola Staffilani
Hideo Takaoka
Terence Tao
+ Polynomial upper bounds for the orbital instability of the 1D cubic NLS below the energy norm 2003 J. Colliander
M. Keel
Gigliola Staffilani
Hideo Takaoka
Terence Tao
+ PDF Low regularity stability of solitons for the KDV equation 2003 Sarah Raynor
Gigliola Staffilani
+ Global existence and scattering for rough solutions of a nonlinear Schroedinger equation on R^3 2003 J. Colliander
M. Keel
Gigliola Staffilani
Hideo Takaoka
Terence Tao
+ Stability of Solitons for the KdV equation in H^s, 0 &lt;= s&lt; 1 2003 Sarah Raynor
Gigliola Staffilani
+ PDF Book Review: Global solutions of nonlinear Schrödinger equations 2002 Gigliola Staffilani
+ PDF STRICHARTZ ESTIMATES FOR A SCHRÖDINGER OPERATOR WITH NONSMOOTH COEFFICIENTS 2002 Gigliola Staffilani
Daniel Tataru
+ PDF Almost Conservation Laws and Global Rough Solutions to a Nonlinear Schrödinger Equation 2002 J. Colliander
M. Keel
Gigliola Staffilani
Hideo Takaoka
Terence Tao
+ A new approach to study the Vlasov-Maxwell system 2002 SergiĂč Klainerman
Gigliola Staffilani
+ PDF Existence globale et diffusion pour l’équation de Schrödinger non linĂ©aire rĂ©pulsive cubique sur <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mi>m</mml:mi><mml:mi>a</mml:mi><mml:mi>t</mml:mi><mml:mi>h</mml:mi><mml:mi>b</mml:mi><mml:mi>b</mml:mi><mml:msup><mml:mrow><mml:mi>R</mml:mi></mml:mrow> <mml:mn>3</mml:mn> </mml:msup></mml:mrow></mml:math> en dessous l’espace d’énergie 2002 J. Colliander
M. Keel
Gigliola Staffilani
Hideo Takaoka
T. Tao
+ Polynomial upper bounds for the instability of the Nonlinear Schrödinger equation below the energy norm 2002 J. Colliander
M. Keel
Gigliola Staffilani
Hideo Takaoka
Terence Tao
+ Polynomial upper bounds for the orbital instability of the 1D cubic NLS below the energy norm 2002 Jim Colliander
Mark Keel
Gigliola Staffilani
Hideo Takaoka
Terence Tao
+ Almost conservation laws and global rough solutions to a Nonlinear Schrödinger equation 2002 J. Colliander
M. Keel
Gigliola Staffilani
Hideo Takaoka
Terence Tao
+ Low regularity solutions for the Kadomtsev-Petviashvili I equation 2002 J. Colliander
Carlos E. Kenig
Gigliola Staffilani
+ Local well-posedness for dispersion generalized Benjamin-Ono equations 2002 J. Colliander
Carlos E. Kenig
Gigliola Staffilani
+ KdV and Almost Conservation Laws 2002 Gigliola Staffilani
+ PDF Bilinear estimates and applications to 2d NLS 2001 J. Colliander
Jean-Marc Delort
Carlos E. Kenig
Gigliola Staffilani
+ GLOBAL WELL-POSEDNESS FOR SCHR ¹ ODINGER EQUATIONS WITH DERIVATIVE ∗ 2001 J. Colliander
M. Keel
Gigliola Staffilani
Hideo Takaoka
Terence Tao
+ Global well-posedness for KdV in Sobolev Spaces of negative index 2001 J. Colliander
M. Keel
Gigliola Staffilani
Hideo Takaoka
T. Tao
+ Global well-posedness for KdV in Sobolev Spaces of negative index 2001 J. Colliander
M. Keel
Gigliola Staffilani
Hideo Takaoka
Terence C. Tao
+ Sharp Global well-posedness for KdV and modified KdV on $\R$ and $\T$ 2001 J. Colliander
M. Keel
Gigliola Staffilani
Hideo Takaoka
Terence Tao
+ A refined global well-posedness result for Schrodinger equations with derivative 2001 J. Colliander
M. Keel
Gigliola Staffilani
Hideo Takaoka
Terence Tao
+ Multilinear estimates for periodic KdV equations and applications 2001 Jim Colliander
M. Keel
Gigliola Staffilani
Hideo Takaoka
Terence Tao
+ Global well-posedness for Schrödinger equations with derivative 2001 J. Colliander
M. Keel
Gigliola Staffilani
Hideo Takaoka
Terry Tao
+ On Solutions for the Kadomtsev-Petviashvili I Equation 2001 J. Colliander
Carlos E. Kenig
Gigliola Staffilani
+ On solutions for the Kadomtsev-Petviashvili I equation 2001 J. Colliander
Carlos E. Kenig
Gigliola Staffilani
+ PDF Global wellposedness for KdV below ${L^2}$ 1999 J. Colliander
Gigliola Staffilani
Hideo Takaoka
+ Local well-posedness for higher order nonlinear dispersive systems 1997 Carlos E. Kenig
Gigliola Staffilani
+ PDF On the generalized Korteweg-de Vries-type equations 1997 Gigliola Staffilani
+ On the growth of high Sobolev norms of solutions for KdV and Schrödinger equations 1997 Gigliola Staffilani
+ Quadratic forms for a 2-D semilinear Schrödinger equation 1997 Gigliola Staffilani
+ None 1997 Gigliola Staffilani
Common Coauthors
Commonly Cited References
Action Title Year Authors # of times referenced
+ Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations 1993 Jean Bourgain
55
+ PDF A bilinear estimate with applications to the KdV equation 1996 Carlos E. Kenig
Gustavo Ponce
Luis Vega
26
+ PDF Endpoint Strichartz estimates 1998 M. Keel
Terence Tao
24
+ PDF Chat A Refined Global Well-Posedness Result for Schrödinger Equations with Derivative 2002 J. Colliander
M. Keel
G. Staffilani
Hideo Takaoka
Terence Tao
20
+ None 1998 M. Keel
Terence Tao
20
+ The cauchy problem for the critical nonlinear Schrödinger equation in Hs 1990 Thierry Cazenave
Fred B. Weissler
18
+ Well‐posedness and scattering results for the generalized korteweg‐de vries equation via the contraction principle 1993 Carlos E. Kenig
Gustavo Ponce
Luis Vega
18
+ GLOBAL WELL-POSEDNESS FOR SCHR ¹ ODINGER EQUATIONS WITH DERIVATIVE ∗ 2001 J. Colliander
M. Keel
Gigliola Staffilani
Hideo Takaoka
Terence Tao
18
+ PDF Bilinear estimates and applications to 2d NLS 2001 J. Colliander
Jean-Marc Delort
Carlos E. Kenig
Gigliola Staffilani
16
+ Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations 1993 Jean Bourgain
16
+ The Cauchy problem for the Korteweg-de Vries equation in Sobolev spaces of negative indices 1993 Carlos E. Kenig
Gustavo Ponce
Luis Vega
15
+ Nonlinear Dispersive Equations 2006 Terence Tao
15
+ Invariant measures for the2D-defocusing nonlinear Schrödinger equation 1996 Jean Bourgain
14
+ PDF Almost Conservation Laws and Global Rough Solutions to a Nonlinear Schrödinger Equation 2002 J. Colliander
M. Keel
Gigliola Staffilani
Hideo Takaoka
Terence Tao
14
+ None 1996 Jean Bourgain
13
+ On the growth of high Sobolev norms of solutions for KdV and Schrödinger equations 1997 Gigliola Staffilani
13
+ PDF Chat Multilinear weighted convolution of L 2 functions, and applications to nonlinear dispersive equations 2001 Terence Tao
13
+ PDF Global well-posedness and scattering for the energy-critical Schrödinger equation in ℝ<sup>3</sup> 2008 J. Colliander
M. Keel
Gigliola Staffilani
Hideo Takaoka
Terence Tao
12
+ On the ill-posedness of some canonical dispersive equations 2001 Carlos E. Kenig
Gustavo Ponce
Luis Vega
12
+ Global well-posedness for KdV in Sobolev Spaces of negative index 2001 J. Colliander
M. Keel
Gigliola Staffilani
Hideo Takaoka
Terence C. Tao
12
+ Global Solutions of Nonlinear Schrödinger Equations 1999 Jean Bourgain
11
+ PDF Global wellposedness of defocusing critical nonlinear Schrödinger equation in the radial case 1999 Jean Bourgain
11
+ PDF Smoothing properties and retarded estimates for some dispersive evolution equations 1992 J. Ginibre
G. Velo
10
+ PDF Periodic nonlinear Schrödinger equation and invariant measures 1994 Jean Bourgain
10
+ PDF Global wellposedness for KdV below ${L^2}$ 1999 J. Colliander
Gigliola Staffilani
Hideo Takaoka
9
+ PDF Chat Global well-posedness of the energy-critical nonlinear Schrödinger equation with small initial data in H1(T3) 2011 Sebastian Herr
Daniel Tataru
Nikolay Tzvetkov
9
+ PDF Derivation of the Gross-Pitaevskii equation for the dynamics of Bose-Einstein condensate 2010 László ErdƑs
Benjamin Schlein
Horng‐Tzer Yau
9
+ PDF Chat On the Uniqueness of Solutions to the Gross-Pitaevskii Hierarchy 2008 SergiĂč Klainerman
Matei Machedon
9
+ PDF Chat The energy-critical defocusing NLS on T3 2012 Alexandru D. Ionescu
BenoĂźt Pausader
9
+ Global well-posedness for semi-linear wave equations 2000 Carlos E. Kenig
Gustavo Ponce
Luis Vega
9
+ PDF Chat Global Well-Posedness for Schrödinger Equations with Derivative 2001 J. Colliander
M. Keel
G. Staffilani
Hideo Takaoka
Terence Tao
9
+ Global existence and scattering for rough solutions of a nonlinear Schrödinger equation on ℝ<sup>3</sup> 2004 J. Colliander
M. Keel
Gigliola Staffilani
Hideo Takaoka
Terence Tao
9
+ The analysis of linear partial differential operators 1990 Lars Hörmander
9
+ Dispersion of small amplitude solutions of the generalized Korteweg-de Vries equation 1991 Francis Michael Christ
Michael I. Weinstein
9
+ PDF Chat Derivation of the cubic non-linear Schrödinger equation from quantum dynamics of many-body systems 2006 LĂĄszlĂł ErdƑs
Benjamin Schlein
Horng‐Tzer Yau
8
+ PDF Quadratic forms for the 1-D semilinear Schrödinger equation 1996 Carlos E. Kenig
Gustavo Ponce
Luis Vega
8
+ Scattering in the energy space and below for 3D NLS 1998 Jean Bourgain
8
+ Rigorous derivation of the Gross-Pitaevskii equation with a large interaction potential 2009 László ErdƑs
Benjamin Schlein
Horng‐Tzer Yau
8
+ PDF Global well-posedness for a periodic nonlinear Schrödinger equation in 1D and 2D 2007 Daniela De Silva
Nataơa Pavlović
Gigliola Staffilani
Nikolaos Tzirakis
8
+ PDF Chat Random data Cauchy theory for supercritical wave equations II: a global existence result 2008 Nicolas Burq
Nikolay Tzvetkov
8
+ PDF The proof of the l^2 Decoupling Conjecture 2015 Jean Bourgain
Ciprian Demeter
8
+ Sharp global well-posedness for KdV and modified KdV on ℝ and 𝕋 2003 J. Colliander
M. Keel
Gigliola Staffilani
Hideo Takaoka
Terence Tao
8
+ PDF Infinite-dimensional symplectic capacities and a squeezing theorem for Hamiltonian PDE's 1995 Sergej B. Kuksin
8
+ PDF Chat Random data Cauchy theory for supercritical wave equations I: local theory 2008 Nicolas Burq
Nikolay Tzvetkov
8
+ PDF Construction of a Gibbs measure associated to the periodic Benjamin–Ono equation 2009 Nikolay Tzvetkov
7
+ Random Data Cauchy Theory for Nonlinear Wave Equations of Power-Type on ℝ<sup>3</sup> 2014 Jonas LĂŒhrmann
Dana Mendelson
7
+ PDF Wiener randomization on unbounded domains and an application to almost sure well-posedness of NLS 2015 Árpåd Bényi
Tadahiro Oh
Oana Pocovnicu
7
+ Gevrey class regularity for the solutions of the Navier-Stokes equations 1989 Ciprian FoiaƟ
Roger TĂ©mam
7
+ PDF The classical limit for quantum mechanical correlation functions 1974 K. Hepp
7
+ PDF Chat Multilinear estimates for periodic KdV equations, and applications 2003 J. Colliander
M. Keel
Gigliola Staffilani
Hideo Takaoka
Terence Tao
7