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PDF
Chat
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Interaction Morawetz estimate for the magnetic Schrödinger equation and applications
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2014
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J. Colliander
Magdalena Czubak
Jeonghun J. Lee
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LOWER BOUND FOR THE RATE OF BLOW-UP OF SINGULAR SOLUTIONS OF THE ZAKHAROV SYSTEM IN â<sup>3</sup>
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2013
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J. Colliander
Magdalena Czubak
Catherine Sulem
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PDF
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Behavior of a Model Dynamical System with Applications to Weak Turbulence
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2013
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J. Colliander
Jeremy L. Marzuola
Tadahiro Oh
Gideon Simpson
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Lower bound for the rate of blow-up of singular solutions of the Zakharov system in $\R^3$
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2013
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J. Colliander
Magdalena Czubak
Catherine Sulem
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PDF
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Behavior of a Model Dynamical System with Applications to Weak Turbulence
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2013
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J. Colliander
Jeremy L. Marzuola
Tadahiro Oh
Gideon Simpson
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PDF
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A remark on normal forms and the âupside-downâ I-method for periodic NLS: Growth of higher Sobolev norms
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2012
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J. Colliander
Soonsik Kwon
Tadahiro Oh
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Behavior of a Model Dynamical System with Applications to Weak Turbulence
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2012
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J. Colliander
Jeremy L. Marzuola
Tadahiro Oh
Gideon Simpson
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PDF
Chat
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Almost sure well-posedness of the cubic nonlinear Schrödinger equation below L2(T)
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2012
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J. Colliander
Tadahiro Oh
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+
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Behavior of a Model Dynamical System with Applications to Weak Turbulence
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2012
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J. Colliander
Jeremy L. Marzuola
Tadahiro Oh
Gideon Simpson
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+
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Interaction Morawetz estimate for the magnetic Schr\"odinger equation and applications
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2011
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J. Colliander
Magdalena Czubak
Jeonghun Lee
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+
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Interaction Morawetz estimate for the magnetic Schrödinger equation and applications
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2011
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J. Colliander
Magdalena Czubak
Jeonghun Lee
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PDF
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Bootstrapped Morawetz estimates and resonant decomposition for low regularity global solutions of cubic NLS on $R^2$
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2010
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J. Colliander
Tristan Roy
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A remark on normal forms and the "upside-down" I-method for periodic NLS: growth of higher Sobolev norms
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2010
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J. Colliander
Soonsik Kwon
Tadahiro Oh
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Remarks on global a priori estimates for the nonlinear Schrödinger equation
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2010
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J. Colliander
Manoussos G. Grillakis
Nikolaos Tzirakis
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PDF
Chat
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NUMERICAL SIMULATIONS OF THE ENERGY-SUPERCRITICAL NONLINEAR SCHRĂDINGER EQUATION
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2010
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J. Colliander
Gideon Simpson
Catherine Sulem
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PDF
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Transfer of energy to high frequencies in the cubic defocusing nonlinear Schrödinger equation
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2010
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J. Colliander
M. Keel
Gigiola Staffilani
Hideo Takaoka
Terence Tao
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Transfer of energy to high frequencies in the cubic defocusing nonlinear Schrodinger equation
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2010
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J. Colliander
M. Keel
Gigliola Staffilani
Hideo Takaoka
Terence Tao
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+
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A remark on normal forms and the "upside-down" I-method for periodic NLS: growth of higher Sobolev norms
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2010
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J. Colliander
Soonsik Kwon
Tadahiro Oh
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PDF
Chat
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ENERGY CRITICAL NLS IN TWO SPACE DIMENSIONS
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2009
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J. Colliander
Sabrin R. M. Ibrahim
Mohamed Majdoub
Nader Masmoudi
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PDF
Chat
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Tensor products and correlation estimates with applications to nonlinear Schrödinger equations
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2009
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J. Colliander
Nikolaos Tzirakis
Manoussos G. Grillakis
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Rough blowup solutions to the L 2 critical NLS
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2009
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J. Colliander
Pierre Raphaël
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+
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Numerical simulations of the energy- supercritical Nonlinear Schrödinger equation
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2009
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J. Colliander
Gideon Simpson
Catherine Sulem
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+
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Remarks on global a priori estimates for the nonlinear Schrödinger equation
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2009
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J. Colliander
Manoussos G. Grillakis
Nikolaos Tzirakis
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+
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Weak Turbulence for Periodic NLS
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2009
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J. Colliander
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PDF
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Notes on symplectic non-squeezing of the KdV flow
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2008
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J. Colliander
M. Keel
Gigliola Staffilani
Hideo Takaoka
T. Tao
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PDF
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Global well-posedness and scattering for the energy-critical Schrödinger equation in â<sup>3</sup>
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2008
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J. Colliander
M. Keel
Gigliola Staffilani
Hideo Takaoka
Terence Tao
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PDF
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Low regularity global well-posedness for the Zakharov and Klein-Gordon-Schrödinger systems
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2008
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J. Colliander
Justin Holmer
Nikolaos Tzirakis
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Weakly turbulent solutions for the cubic defocusing nonlinear Schrödinger equation
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2008
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J. Colliander
M. Keel
Gigliola Staffilani
Hideo Takaoka
T. Tao
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PDF
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Resonant decompositions and the $I$-method for the cubic nonlinear Schrödinger equation on $\mathbb{R}^2$
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2008
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J. Colliander
M. Keel
Gigliola Staffilani
Hideo Takaoka
Terry Tao
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PDF
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Global existence and scattering for rough solutions to generalized nonlinear Schrödinger equations on $R$
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2008
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J. Colliander
Justin Holmer
Monica ViĆan
Xiaoyi Zhang
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PDF
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Weighted low-regularity solutions of the KP-I initial-value problem
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2008
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J. Colliander
Alexandru D. Ionescu
Carlos E. Kenig
Gigliola Staffilani
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PDF
Chat
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A priori bounds and weak solutions for the nonlinear Schrödinger equation in Sobolev spaces of negative order
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2007
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Michael Christ
J. Colliander
Terence Tao
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MASS CONCENTRATION WINDOW SIZE AND STRICHARTZ NORM DIVERGENCE RATE FOR THE L<sup>2</sup>-CRITICAL NONLINEAR SHRĂDINGER EQUATION
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2007
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J. Colliander
Svetlana Roudenko
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PDF
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Errata to âLow Regularity Solutions for the KadomtsevâPetviashvili I Equationâ, GAFA, Geom. Funct. Anal. 13 (2003), 737-794
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2007
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J. Colliander
Carlos E. Kenig
Gigliola Staffilani
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Weighted Low-Regularity Solutions of the KP-I Initial Value Problem
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2007
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J. Colliander
Alexandru D. Ionescu
Carlos E. Kenig
Gigliola Staffilani
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Improved interaction Morawetz inequalities for the cubic nonlinear Schr
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2007
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J. Colliander
Manoussos G. Grillakis
Nikolaos Tzirakis
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+
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Cubic Derivative Nonlinear Schrodinger has Blowup Solutions
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2007
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J. Colliander
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Resonant decompositions and the I-method for cubic nonlinear Schrodinger on R^2
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2007
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J. Colliander
M. Keel
Gigliola Staffilani
Hideo Takaoka
Terence Tao
|
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PDF
Chat
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Improved Interaction Morawetz Inequalities for the Cubic Nonlinear Schrödinger Equation on â2
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2007
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J. Colliander
Manoussos G. Grillakis
Nikolaos Tzirakis
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Improved interaction Morawetz inequalities for the cubic nonlinear Schrödinger equation on $\R^2$
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2007
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J. Colliander
Manoussos G. Grillakis
Nikolaos Tzirakis
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PDF
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The energy-critical nonlinear Schrödinger equation in âÂł
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2007
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J. Colliander
M. Keel
G. Staffilani
HernĂĄn Ăngel Takaoka
T. Tao
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+
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On blowup solutions of NLS with low regularity initial data
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2007
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J. Colliander
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+
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Weighted Low-Regularity Solutions of the KP-I Initial Value Problem
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2007
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J. Colliander
Alexandru D. Ionescu
Carlos E. Kenig
Gigliola Staffilani
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+
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A remark on the concentration phenomenon for the L^2-critical nonlinear Schrodinger equations
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2006
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J. Colliander
Svetlana Roudenko
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+
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Global existence and scattering for rough solutions to generalized nonlinear Schrödinger equations on $\R$
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2006
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J. Colliander
Justin Holmer
Monica ViĆan
X. Zhang
|
+
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A priori bounds and weak solutions for the nonlinear Schrödinger equation in Sobolev spaces of negative order
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2006
|
Michael Christ
J. Colliander
Terence Tao
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PDF
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Global well-posedness in Sobolev space implies global existence for weighted $L^2$ initial data for $L^2$-critical NLS
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2006
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Pieter Blue
J. Colliander
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PDF
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Ground state mass concentration in the $L^2$-critical nonlinear Schrödinger equation below $H^1$
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2005
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J. Colliander
Sarah Raynor
Catherine Sulem
James Wright
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PDF
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Symplectic nonsqueezing of the korteweg-de vries flow
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2005
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J. Colliander
Gigliola Staffilani
M. Keel
Hideo Takaoka
Terence Tao
|
+
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Global well-posedness in Sobolev space implies global existence for weighted L^2 initial data for L^2 -critical NLS
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2005
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Pieter Blue
J. Colliander
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Recent Progress on the Nonlinear Schrodinger Evolution Problem (Harmonic Analysis and Nonlinear Partial Differential Equations)
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2004
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J. Colliander
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Global existence and scattering for rough solutions of a nonlinear Schrödinger equation on â<sup>3</sup>
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2004
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J. Colliander
M. Keel
Gigliola Staffilani
Hideo Takaoka
Terence Tao
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+
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Symplectic nonsqueezing of the KdV flow
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2004
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J. Colliander
M. Keel
Gigliola Staffilani
Hideo Takaoka
T. Tao
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+
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$L^2$ blowup solutions of cubic NLS on $\R^2$ concentrate a fixed amount of mass
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2004
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J. Colliander
Wolfgang Staubach
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On Solutions for the KadomtsevâPetviashvili I Equation
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2004
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J. Colliander
Carlos E. Kenig
Gigliola Staffilani
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Refinement of the Strichartz estimates and the L^2 mass concentration for 1-d quintic nonlinear Schrödinger equation
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2004
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J. Colliander
Wolfgang Staubach
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PDF
Chat
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Asymptotics, frequency modulation, and low regularity ill-posedness for canonical defocusing equations
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2003
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Michael Christ
J. Colliander
T. Tao
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+
PDF
Chat
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Multilinear estimates for periodic KdV equations, and applications
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2003
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J. Colliander
M. Keel
Gigliola Staffilani
Hideo Takaoka
Terence Tao
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+
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Low regularity solutions for the Kadomtsev-Petviashvili I equation
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2003
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J. Colliander
Carlos E. Kenig
Gigliola Staffilani
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+
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Sharp global well-posedness for KdV and modified KdV on â and đ
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2003
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J. Colliander
M. Keel
Gigliola Staffilani
Hideo Takaoka
Terence Tao
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+
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Ill-posedness for nonlinear Schrodinger and wave equations
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2003
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Michael Christ
J. Colliander
Terence Tao
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+
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Instability of the periodic nonlinear Schrodinger equation
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2003
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Michael Christ
J. Colliander
Terence Tao
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+
PDF
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Local well-posedness for dispersion-generalized Benjamin-Ono equations
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2003
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J. Colliander
Carlos E. Kenig
Gigliola Staffilani
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+
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Polynomial upper bounds for the instability of the nonlinear Schrödinger equation below the energy norm
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2003
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J. Colliander
M. Keel
Gigliola Staffilani
Hideo Takaoka
Terence Tao
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+
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Polynomial upper bounds for the orbital instability of the 1D cubic NLS below the energy norm
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2003
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J. Colliander
M. Keel
Gigliola Staffilani
Hideo Takaoka
Terence Tao
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+
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Global existence and scattering for rough solutions of a nonlinear Schroedinger equation on R^3
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2003
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J. Colliander
M. Keel
Gigliola Staffilani
Hideo Takaoka
Terence Tao
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+
PDF
Chat
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THE GENERALIZED KORTEWEGâDE VRIES EQUATION ON THE HALF LINE
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2002
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J. Colliander
Carlos E. Kenig
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+
PDF
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Almost Conservation Laws and Global Rough Solutions to a Nonlinear Schrödinger Equation
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2002
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J. Colliander
M. Keel
Gigliola Staffilani
Hideo Takaoka
Terence Tao
|
+
PDF
Chat
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A Refined Global Well-Posedness Result for Schrödinger Equations with Derivative
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2002
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J. Colliander
M. Keel
G. Staffilani
Hideo Takaoka
Terence Tao
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+
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Regularity Bounds on Zakharov System Evolutions
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2002
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J. Colliander
Gigliola Stalani
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+
PDF
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Existence globale et diffusion pour lâĂ©quation 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 lâespace dâĂ©nergie
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2002
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J. Colliander
M. Keel
Gigliola Staffilani
Hideo Takaoka
T. Tao
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+
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Polynomial upper bounds for the instability of the Nonlinear Schrödinger equation below the energy norm
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2002
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J. Colliander
M. Keel
Gigliola Staffilani
Hideo Takaoka
Terence Tao
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+
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Asymptotics, frequency modulation, and low regularity ill-posedness for canonical defocusing equations
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2002
|
Michael Christ
J. Colliander
Terence Tao
|
+
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Almost conservation laws and global rough solutions to a Nonlinear Schrödinger equation
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2002
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J. Colliander
M. Keel
Gigliola Staffilani
Hideo Takaoka
Terence Tao
|
+
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Low regularity solutions for the Kadomtsev-Petviashvili I equation
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2002
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J. Colliander
Carlos E. Kenig
Gigliola Staffilani
|
+
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Local well-posedness for dispersion generalized Benjamin-Ono equations
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2002
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J. Colliander
Carlos E. Kenig
Gigliola Staffilani
|
+
PDF
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Bilinear estimates and applications to 2d NLS
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2001
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J. Colliander
Jean-Marc Delort
Carlos E. Kenig
Gigliola Staffilani
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GLOBAL WELL-POSEDNESS FOR SCHR š ODINGER EQUATIONS WITH DERIVATIVE â
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2001
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J. Colliander
M. Keel
Gigliola Staffilani
Hideo Takaoka
Terence Tao
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+
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Global well-posedness for KdV in Sobolev Spaces of negative index
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2001
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J. Colliander
M. Keel
Gigliola Staffilani
Hideo Takaoka
T. Tao
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+
PDF
Chat
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Global Well-Posedness for Schrödinger Equations with Derivative
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2001
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J. Colliander
M. Keel
G. Staffilani
Hideo Takaoka
Terence Tao
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+
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Global well-posedness for KdV in Sobolev Spaces of negative index
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2001
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J. Colliander
M. Keel
Gigliola Staffilani
Hideo Takaoka
Terence C. Tao
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+
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Sharp Global well-posedness for KdV and modified KdV on $\R$ and $\T$
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2001
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J. Colliander
M. Keel
Gigliola Staffilani
Hideo Takaoka
Terence Tao
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+
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A refined global well-posedness result for Schrodinger equations with derivative
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2001
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J. Colliander
M. Keel
Gigliola Staffilani
Hideo Takaoka
Terence Tao
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+
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The generalized Korteweg-de Vries equation on the half line
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2001
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J. Colliander
Carlos E. Kenig
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+
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Global well-posedness for Schrödinger equations with derivative
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2001
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J. Colliander
M. Keel
Gigliola Staffilani
Hideo Takaoka
Terry Tao
|
+
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On Solutions for the Kadomtsev-Petviashvili I Equation
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2001
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J. Colliander
Carlos E. Kenig
Gigliola Staffilani
|
+
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On solutions for the Kadomtsev-Petviashvili I equation
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2001
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J. Colliander
Carlos E. Kenig
Gigliola Staffilani
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+
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Ginzburg-landau vortices: weak stability and schrödinger equation dynamics
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1999
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J. Colliander
Robert L. Jerrard
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PDF
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Global wellposedness for KdV below ${L^2}$
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1999
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J. Colliander
Gigliola Staffilani
Hideo Takaoka
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+
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Wellposedness for Zakharov Systems with Generalized Nonlinearity
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1998
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J. Colliander
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The Initial Value Problem for the Zakharov System
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1997
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J. Colliander
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Vortex Dynamics for the Ginzburg-Landau-Schrödinger Equation
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1997
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J. Colliander
Robert L. Jerrard
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PDF
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Globalizing estimates for the periodic KPI equation
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1996
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J. Colliander
|
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PDF
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Entire and meromorphic functions
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1996
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Lee A. Rubel
J. Colliander
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+
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The PĂłlya Representation Theorem
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1996
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Lee A. Rubel
J. Colliander
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+
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The Riemann-Stieltjes Integral
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1996
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Lee A. Rubel
J. Colliander
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+
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Relation Between the Growth of an Entire Function and the Size of Its Taylor Coefficients
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1996
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Lee A. Rubel
J. Colliander
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+
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âTwo Constantâ Theorems and the PhragmĂ©n-Lindelöf Theorems
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1996
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Lee A. Rubel
J. Colliander
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+
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A Fourier Series Method
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1996
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Lee A. Rubel
J. Colliander
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+
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Formal Power Series
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1996
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Lee A. Rubel
J. Colliander
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+
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None
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1996
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Jean Bourgain
J. Colliander
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+
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Jensenâs Theorem and Applications
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1996
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Lee A. Rubel
J. Colliander
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+
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Picardâs Theorem and the Second Fundamental Theorem
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1996
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Lee A. Rubel
J. Colliander
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+
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The Cartan Formulation of the Characteristic
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1996
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Lee A. Rubel
J. Colliander
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+
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A Lemma of Borel and Some Applications
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1996
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Lee A. Rubel
J. Colliander
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+
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Applications of T(r)
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1996
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Lee A. Rubel
J. Colliander
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+
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The Miles-Rubel-Taylor Theorem on Quotient Representations of Meromorphic Functions
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1996
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Lee A. Rubel
J. Colliander
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+
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The Maximum Term of an Entire Function
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1996
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Lee A. Rubel
J. Colliander
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+
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Integer-Valued Entire Functions
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1996
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Lee A. Rubel
J. Colliander
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+
PDF
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On Small Entire Functions of Exponential-Type with Given Zeros
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1996
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Lee A. Rubel
J. Colliander
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The First-Order Theory of the Ring of All Entire Functions
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1996
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Lee A. Rubel
J. Colliander
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+
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Identities of Exponential Functions
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1996
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Lee A. Rubel
J. Colliander
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+
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Entire and Meromorphic Functions
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1996
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Lee A. Rubel
J. Colliander
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+
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A Proof of the Second Fundamental Theorem
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1996
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Lee A. Rubel
J. Colliander
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The Poisson-Jensen Formula
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1996
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Lee A. Rubel
J. Colliander
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