M. Keel

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All published works

Action	Title	Year	Authors
+ PDF	Global well-posedness of the Maxwell-Klein-Gordon equation below the energy norm	2011	M. Keel Tristan Roy Terence Tao
+ PDF	Transfer of energy to high frequencies in the cubic defocusing nonlinear Schrödinger equation	2010	J. Colliander M. Keel Gigiola Staffilani Hideo Takaoka Terence Tao
+	Transfer of energy to high frequencies in the cubic defocusing nonlinear Schrodinger equation	2010	J. Colliander M. Keel Gigliola Staffilani Hideo Takaoka Terence Tao
+	Global well-posedness of the Maxwell-Klein-Gordon equation below the energy norm	2009	M. Keel Tristan Roy Terence Tao
+ PDF	Notes on symplectic non-squeezing of the KdV flow	2008	J. Colliander M. Keel Gigliola Staffilani Hideo Takaoka T. Tao
+ 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
+ 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
+	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	Symplectic nonsqueezing of the korteweg-de vries flow	2005	J. Colliander Gigliola Staffilani M. Keel Hideo Takaoka Terence Tao
+	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
+	Almost global existence for quasilinear wave equations in three space dimensions	2003	M. Keel Hart F. Smith Christopher D. Sogge
+ PDF Chat	Multilinear estimates for periodic KdV equations, and applications	2003	J. Colliander M. Keel Gigliola Staffilani Hideo Takaoka Terence Tao
+	Sharp global well-posedness for KdV and modified KdV on ℝ and 𝕋	2003	J. Colliander M. Keel Gigliola Staffilani Hideo Takaoka Terence Tao
+	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
+	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
+ PDF Chat	Almost global existence for some semilinear wave equations	2002	M. Keel Hart F. Smith Christopher D. Sogge
+	Global Existence for a Quasilinear Wave Equation Outside of Star-Shaped Domains	2002	M. Keel Hart F. Smith Christopher D. Sogge
+ PDF	Almost Conservation Laws and Global Rough Solutions to a Nonlinear Schrödinger Equation	2002	J. Colliander M. Keel Gigliola Staffilani Hideo Takaoka Terence Tao
+ PDF Chat	A Refined Global Well-Posedness Result for Schrödinger Equations with Derivative	2002	J. Colliander M. Keel G. Staffilani Hideo Takaoka Terence Tao
+ PDF	Existence globale et diffusion pour l’équation de Schrödinger non linéaire répulsive 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
+	Almost conservation laws and global rough solutions to a Nonlinear Schrödinger equation	2002	J. Colliander M. Keel Gigliola Staffilani Hideo Takaoka Terence Tao
+	GLOBAL WELL-POSEDNESS FOR SCHR ¨ 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
+ PDF Chat	Global Well-Posedness for Schrödinger Equations with Derivative	2001	J. Colliander M. Keel G. 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 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
+	Almost global existence for quasilinear wave equations in three space dimensions	2001	M. Keel Hart F. Smith Christopher D. Sogge
+	Almost global existence for some semilinear wave equations	2001	M. Keel Hart F. Smith Christopher D. Sogge
+	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
+ PDF	On global existence for nonlinear wave equations outside of convex obstacles	2000	M. Keel Hart F. Smith Christopher D. Sogge
+	Global existence for a quasilinear wave equation outside of star-shaped domains	2000	M. Keel Hart F. Smith Christopher D. Sogge
+	Small data blow-up for semilinear Klein-Gordon equations	1999	M. Keel Terence Tao
+	Lectures on geometric optics	1998	Jeffrey Rauch M. Keel
+ PDF	Endpoint Strichartz estimates	1998	M. Keel Terence Tao
+	None	1998	M. Keel Terence Tao
+	Global Existence for the Critical Power Yang-Mills - Equations.	1995	M. Keel
+	Global existence for critical power Yang-Mills-Higgs equations	1995	M. Keel

Common Coauthors

Coauthor	Papers Together
Hideo Takaoka	28
J. Colliander	27
Gigliola Staffilani	25
Terence Tao	24
Christopher D. Sogge	7
Hart F. Smith	7
T. Tao	5
G. Staffilani	3
Terry Tao	2
Tristan Roy	2
Jim Colliander	1
Terence C. Tao	1
T. Tao	1
Jeffrey Rauch	1

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	20
+	None	1998	M. Keel Terence Tao	20
+ PDF	A bilinear estimate with applications to the KdV equation	1996	Carlos E. Kenig Gustavo Ponce Luis Vega	15
+ PDF Chat	Multilinear weighted convolution of L 2 functions, and applications to nonlinear dispersive equations	2001	Terence Tao	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
+ PDF Chat	A Refined Global Well-Posedness Result for Schrödinger Equations with Derivative	2002	J. Colliander M. Keel G. Staffilani Hideo Takaoka Terence Tao	12
+ PDF	Endpoint Strichartz estimates	1998	M. Keel Terence Tao	11
+	Global Solutions of Nonlinear Schrödinger Equations	1999	Jean Bourgain	11
+	The cauchy problem for the critical nonlinear Schrödinger equation in Hs	1990	Thierry Cazenave Fred B. Weissler	11
+ PDF	Almost Conservation Laws and Global Rough Solutions to a Nonlinear Schrödinger Equation	2002	J. Colliander M. Keel Gigliola Staffilani Hideo Takaoka Terence Tao	10
+	The Cauchy problem for the Korteweg-de Vries equation in Sobolev spaces of negative indices	1993	Carlos E. Kenig Gustavo Ponce Luis Vega	10
+ PDF	Bilinear estimates and applications to 2d NLS	2001	J. Colliander Jean-Marc Delort Carlos E. Kenig Gigliola Staffilani	10
+ PDF Chat	Multilinear estimates for periodic KdV equations, and applications	2003	J. Colliander M. Keel Gigliola Staffilani Hideo Takaoka Terence Tao	9
+	GLOBAL WELL-POSEDNESS FOR SCHR ¨ ODINGER EQUATIONS WITH DERIVATIVE ∗	2001	J. Colliander M. Keel Gigliola Staffilani Hideo Takaoka Terence Tao	9
+	Space‐time estimates for null forms and the local existence theorem	1993	Sergiù Klainerman Matei Machedon	9
+	Global well-posedness for semi-linear wave equations	2000	Carlos E. Kenig Gustavo Ponce Luis Vega	9
+	Periodic Korteweg de Vries equation with measures as initial data	1997	Jean Bourgain	9
+	On the ill-posedness of some canonical dispersive equations	2001	Carlos E. Kenig Gustavo Ponce Luis Vega	8
+ PDF Chat	Global Well-Posedness for Schrödinger Equations with Derivative	2001	J. Colliander M. Keel G. Staffilani Hideo Takaoka Terence Tao	8
+ PDF	Global wellposedness for KdV below ${L^2}$	1999	J. Colliander Gigliola Staffilani Hideo Takaoka	8
+	Nonlinear microlocal analysis of semilinear hyperbolic systems in one space dimension	1982	Jeffrey Rauch Michael C. Reed	7
+	Singular Integrals and Differentiability Properties of Functions.	1971	Elias M. Stein	7
+ PDF	Infinite-dimensional symplectic capacities and a squeezing theorem for Hamiltonian PDE's	1995	Sergej B. Kuksin	7
+ PDF	Smoothing properties and retarded estimates for some dispersive evolution equations	1992	J. Ginibre G. Velo	7
+	Lectures on Nonlinear Wave Equations	2005	Christopher D. Sogge	7
+ PDF	Exponential decay of solutions of the wave equation in the exterior of a star‐shaped obstacle	1963	Peter D. Lax Cathleen S. Morawetz Ralph S. Phillips	7
+	Self-Spreading and Strength of Singularities for Solutions to Semilinear Wave Equations	1983	Michael Beals	7
+	Sharp global well-posedness for KdV and modified KdV on ℝ and 𝕋	2003	J. Colliander M. Keel Gigliola Staffilani Hideo Takaoka Terence Tao	7
+ PDF	Aspects of Long Time Behaviour of Solutions of Nonlinear Hamiltonian Evolution Equations	1995	Jean Bourgain	6
+	None	1996	Jean Bourgain	6
+	Scattering in the energy space and below for 3D NLS	1998	Jean Bourgain	6
+	On the growth of high Sobolev norms of solutions for KdV and Schrödinger equations	1997	Gigliola Staffilani	6
+	Time decay for the nonlinear Klein-Gordon equation	1968	Cathleen S. Morawetz	6
+	Uniform decay estimates and the lorentz invariance of the classical wave equation	1985	Sergiù Klainerman	6
+ PDF	Global low-regularity solutions for Kadomtsev-Petviashvili equation	2000	N. Tzvetkov	5
+	Dispersion of small amplitude solutions of the generalized Korteweg-de Vries equation	1991	Francis Michael Christ Michael I. Weinstein	5
+	Global well-posedness for Schrodinger equations with derivative in a nonlinear term and data in low-order Sobolev spaces	2001	Hideo Takaoka	5
+	Global solutions of nonlinear hyperbolic equations for small initial data	1986	Demetrios Christodoulou	5
+	Nonlinear Wave Equations, Formation of Singularities	1990	Fritz John	5
+	Global well-posedness for the modified korteweg-de vries equation	1999	German Fonsecal Felipe Linares Gustavo Ponce	5
+ PDF	None	1994	Jean Bourgain	5
+	Global Existence of Solutions to Some Exterior Radial Quasilinear Cauchy- Dirichlet Problems	1995	Paul Godin	5
+	Almost conservation laws and global rough solutions to a Nonlinear Schrödinger equation	2002	J. Colliander M. Keel Gigliola Staffilani Hideo Takaoka Terence Tao	5
+	Smoothing estimates for null forms and applications	1995	Sergiù Klainerman Matei Machedon	5
+	Nonlinear Dispersive Equations	2006	Terence Tao	5
+	On a global existence theorem of small amplitude solutions for nonlinear wave equations in an exterior domain	1986	Yoshihiro Shibata Yoshio Tsutsumi	5
+	Global Existence of Small Solutions to Quadratic Nonlinear Wave Equations in an Exterior Domain	1995	Nakao Hayashi	5
+	Global strichartz estimates for nonthapping perturbations of the laplacian	2000	Hart F. Smith Christopher D. Sogge	4
+	On local existence for nonlinear wave equations satisfying variable coefficient null conditions	1993	Christopher D. Sogge	4
+ PDF	Symplectic invariants and Hamiltonian dynamics	1995	Helmut Hofer Eduard Zehnder	4