Papers and Preprints

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The characterization of minimal-mass blowup solutions to the focusing mass-critical NLS R. Killip
D. Li
X. Zhang
submitted math.AP/0804.1124
The focusing energy-critical nonlinear Schrodinger equation in dimensions five and higher R. Killip submitted math.AP/0804.1018
The mass-critical nonlinear Schrodinger equation with radial data i$ dimensions three and higher R. Killip
X. Zhang
submitted math.AP/0708.0849
The cubic nonlinear Schrodinger equation in two dimensions with radial data R. Killip
T. Tao
submitted math.AP/0707.3188
Global existence and scattering for rough solutions to generalized nonlinear Schrodinger equations on R J. Colliander
J. Holmer
X. Zhang
CPAA 7 (2008), 467-489. math.AP/0612452
Energy-critical NLS with quadratic potentials R. Killip
X. Zhang
to appear Comm. PDE. math.AP/0611394
Global well-posedness and scattering for the mass-critical nonlinear Schrodinger equation for radial data in high dimensions T. Tao
X. Zhang
Duke Math. J. 140 (2007), 165-202. math.AP/0609692
Minimal-mass blowup solutions of the mass-critical NLS T. Tao
X. Zhang
to appear Forum Mathematicum. math.AP/0609690
On the blowup for the $L^2$-critical focusing nonlinear Schrodinger equation in higher dimensions below the energy class X. Zhang SIAM J. Math. Anal. 39 (2007), 34-56. math.AP/0606737
Global well-posedness and scattering for a class of nonlinear Schrodinger equations below the energy space X. Zhang submitted math.AP/0606611
The defocusing energy-critical nonlinear Schrodinger equation in dimensions five and higher Ph.D. Thesis. pdf file
The Schrodinger equation with combined power-type nonlinearities
T. Tao
X. Zhang
Comm. PDE 32 (2007), 1281-1343.
math.AP/0511070
The defocusing energy-critical nonlinear Schrodinger equation in higher dimensions
Duke Math. J. 138 (2007), 281-374. math.AP/0508298
A counterexample to dispersive estimates for Schrodinger operators in higher dimensions M. Goldberg Comm. Math. Phys. 266 (2006), 211-238. math.AP/0508206
Stability of energy-critical nonlinear Schrodinger equations in high dimensions T. Tao Electron. J. Diff. Eqns. 2005 (2005), 1-28 math.AP/0507005
Global well-posedness and scattering for the defocusing energy-critical nonlinear Schrodinger equation in R^{1+4} E. Ryckman Amer. J. Math. 129 (2007), 1-60. math.AP/0501462