Jim Colliander

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All published works

Action	Title	Year	Authors
+	Bootstrapped Morawetz Estimates And Resonant Decomposition For Low Regularity Global Solutions Of Cubic NLS On R^{2}	2008	Jim Colliander Tristan Roy
+	Energy Critical NLS in two space dimensions	2008	Jim Colliander Slim Ibrahim Mohamed Majdoub Nader Masmoudi
+	Tensor products and Correlation Estimates with applications to Nonlinear Schrödinger equations	2008	Jim Colliander Manoussos G. Grillakis Nikolaos Tzirakis
+	Low regularity global well-posedness for the Zakharov and Klein-Gordon-Schrödinger systems	2006	Jim Colliander Justin Holmer Nikolaos Tzirakis
+	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
+	Ground state mass concentration in the L^2-critical nonlinear Schrodinger equation below H^1	2004	Jim Colliander Sarah Raynor Catherine Sulem James Wright
+	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
+	Multilinear estimates for periodic KdV equations and applications	2001	Jim Colliander M. Keel Gigliola Staffilani Hideo Takaoka Terence Tao

Common Coauthors

Coauthor	Papers Together
Gigliola Staffilani	3
Hideo Takaoka	3
Mark Keel	2
Terence Tao	2
Nikolaos Tzirakis	2
Catherine Sulem	1
Justin Holmer	1
Manoussos G. Grillakis	1
Nader Masmoudi	1
Mohamed Majdoub	1
Slim Ibrahim	1
Terry Tao	1
Tristan Roy	1
James Wright	1
Sarah Raynor	1
M. Keel	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF	Almost Conservation Laws and Global Rough Solutions to a Nonlinear Schrödinger Equation	2002	J. Colliander M. Keel Gigliola Staffilani Hideo Takaoka Terence Tao	5
+ PDF	Endpoint Strichartz estimates	1998	M. Keel Terence Tao	3
+	Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations	1993	Jean Bourgain	3
+	None	1998	M. Keel Terence Tao	2
+ PDF	A bilinear estimate with applications to the KdV equation	1996	Carlos E. Kenig Gustavo Ponce Luis Vega	2
+	The cauchy problem for the critical nonlinear Schrödinger equation in Hs	1990	Thierry Cazenave Fred B. Weissler	2
+	On the ill-posedness of some canonical dispersive equations	2001	Carlos E. Kenig Gustavo Ponce Luis Vega	2
+	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	2
+	Scattering in the energy space and below for 3D NLS	1998	Jean Bourgain	2
+	On the Cauchy Problem for the Zakharov System	1997	J. Ginibre Yoshio Tsutsumi G. Velo	1
+	Restrictions of Fourier transforms to quadratic surfaces and decay of solutions of wave equations	1977	Robert S. Strichartz	1
+	Ill-posedness of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"><mml:msup><mml:mi>H</mml:mi><mml:mn>1</mml:mn></mml:msup></mml:math>-supercritical waves	2007	Slim Ibrahim Mohamed Majdoub Nader Masmoudi	1
+	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	1
+	Concentration properties of blow-up solutions and instability results for Zakharov equation in dimension two. Part II	1994	L. Glangetas Franck Merle	1
+	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	1
+	On the structure and formation of singularities in solutions to nonlinear dispersive evolution equations	1986	Michael I. Weinstein	1
+	Smoothing estimates for null forms and applications	1995	Sergiù Klainerman Matei Machedon	1
+ PDF	Infinite-dimensional symplectic capacities and a squeezing theorem for Hamiltonian PDE's	1995	Sergej B. Kuksin	1
+	Modulational Stability of Ground States of Nonlinear Schrödinger Equations	1985	Michael I. Weinstein	1
+	Global well-posedness for the modified korteweg-de vries equation	1999	German Fonsecal Felipe Linares Gustavo Ponce	1
+	Energy Scattering for Nonlinear Klein–Gordon and Schrödinger Equations in Spatial Dimensions 1 and 2	1999	Kenji Nakanishi	1
+	L2 concentration of blow-up solutions for the nonlinear Schrödinger equation with critical power nonlinearity	1990	Frank Merle Yoshio Tsutsumi	1
+	Dispersion of small amplitude solutions of the generalized Korteweg-de Vries equation	1991	Francis Michael Christ Michael I. Weinstein	1
+	Nonlinear Schrödinger Equations in the Sobolev Space of Critical Order	1998	Makoto Nakamura Tohru Ozawa	1
+ PDF	Existence of solitary waves in higher dimensions	1977	Walter A. Strauss	1
+	Interaction Equations for Short and Long Dispersive Waves	1998	Daniella Bekiranov Takayoshi Ogawa Gustavo Ponce	1
+ PDF	A Priori Bounds for the 1D Cubic NLS in Negative Sobolev Spaces	2007	Herbert Koch Daniel Tataru	1
+	ON THE GLOBAL EXISTENCE OF ROUGH SOLUTIONS OF THE CUBIC DEFOCUSING SCHRÖDINGER EQUATION IN <b>R</b><sup>2 + 1</sup>	2007	Yung-Fu Fang Manoussos G. Grillakis	1
+ PDF Chat	Multilinear estimates for periodic KdV equations, and applications	2003	J. Colliander M. Keel Gigliola Staffilani Hideo Takaoka Terence Tao	1
+ PDF	Double logarithmic inequality with a sharp constant	2006	Slim Ibrahim Mohamed Majdoub Nader Masmoudi	1
+	Time decay for the nonlinear Klein-Gordon equation	1968	Cathleen S. Morawetz	1
+	Uniqueness of the ground state solution for Δu−u+u 3=0 and a variational characterization of other solutions	1972	Charles V. Coffman	1
+ PDF Chat	Asymptotics, frequency modulation, and low regularity ill-posedness for canonical defocusing equations	2003	Michael Christ J. Colliander T. Tao	1
+ PDF Chat	Multilinear weighted convolution of L 2 functions, and applications to nonlinear dispersive equations	2001	Terence Tao	1
+ PDF Chat	A priori bounds and weak solutions for the nonlinear Schrödinger equation in Sobolev spaces of negative order	2007	Michael Christ J. Colliander Terence Tao	1
+	Well‐posedness and scattering results for the generalized korteweg‐de vries equation via the contraction principle	1993	Carlos E. Kenig Gustavo Ponce Luis Vega	1
+	LOCAL ILL-POSEDNESS OF THE 1D ZAKHAROV SYSTEM	2007	Justin Holmer	1
+ PDF	A sharp Trudinger–Moser type inequality for unbounded domains in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msup><mml:mrow><mml:mi mathvariant="double-struck">R</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup></mml:math>	2005	Bernhard Ruf	1
+	Self-Spreading and Strength of Singularities for Solutions to Semilinear Wave Equations	1983	Michael Beals	1
+	None	2001	Hartmut Pecher	1
+	"Mass concentration" phenomenon for the nonlinear Schrodinger equation with the critical power nonlinearity	1992	Hayato Nawa	1
+	None	1996	Jean Bourgain	1
+	Almost conservation laws and global rough solutions to a Nonlinear Schrödinger equation	2002	J. Colliander M. Keel Gigliola Staffilani Hideo Takaoka Terence Tao	1
+	The defocusing energy-critical nonlinear Schrödinger equation in higher dimensions	2005	Monica Vişan	1
+ PDF Chat	Scattering for the two-dimensional energy-critical wave equation	2009	Slim Ibrahim Mohamed Majdoub Nader Masmoudi Kenji Nakanishi	1
+	L$^2$-Solutions for Nonlinear Schrodinger Equations and Nonlinear Groups	1985	誉志雄堤	1
+ PDF	Introduction to Analytic Number Theory	1976	Tom M. Apostol	1
+	Stability of energy-critical nonlinear Schrödinger equations in high dimensions	2005	Terence Tao Monica Vişan	1
+ PDF	Global wellposedness of defocusing critical nonlinear Schrödinger equation in the radial case	1999	Jean Bourgain	1
+	None	1996	Jean Bourgain J. Colliander	1