Nonscattering solutions and blowup at infinity for the critical wave equation.
Submitted. Joint w. R. Donninger.
Global dynamics of the nonradial energy-critical wave equation above the ground state energy.
Submitted. Joint w. K.Nakanishi and W. Schlag.
A codimension two stable manifold of near soliton equivariant wave maps.
Submitted. Joint w. I. Bejenaru and D. Tataru.
Global solutions to a non-local diffusion equation with quadratic non-linearity
To appear Comm. PDE. Joint w. R. M. Strain.
Global dynamics above the ground state energy for the one-dimensional NLKG equation.
To appear Math. Z. Joint w. K. Nakanishi and W. Schlag.
Global dynamics away from the ground state for the energy-critical nonlinear wave equation.
To appear Amer. J. of Math. Joint w. K. Nakanishi and W. Schlag.
Concentration Compactness for critical wave maps.
To appear Research Monographs of the European Mathematical Society. Joint w. W. Schlag.
Two soliton solutions to the three dimensional gravitational Hartree equation.
CPAM 62 (2009), no. 11, 1501--1550. Joint w. Y. Martel and P. Raphael.
Renormalization and Blow Up for the critical Yang-Mills problem.
Adv. in Math. 221 (2009), no. 5, 1445--1521 Joint w. W. Schlag and D. Tataru
On structural stability of pseudo-conformal blowup for L^{2}-critical Hartree NLS.
Annales Henri Poincare 10 (2009), no. 6, 1159--1205. Joint w. E. Lenzmann and P. Raphael.
Slow Blow up solutions for certain critical wave equations.
RIMS Kokyuroku Bessatsu B22 (2010), p. 93 - 102.
Large time decay and scattering for wave maps
Dyn. Partial Differ. Equ. 5 (2008), no. 1, 1--37. Joint w. Kenji Nakanishi
Global Regularity and Singularity Development for Wave Maps
"Surveys in Differential Geometry" 2007, Vol. XII, 167-201
Slow Blow-Up Solutions for the H¹ -critical focusing semi-linear wave equation on R³
Duke Math. J. Vol. 147, No. 1(2009), 1-53. Joint with W. Schlag and D. Tataru
Renormalization and Blow Up for Charge One Equivariant Critical Wave Maps
Invent. Math. 171 (2008), no. 3, 543--615. Joint with W. Schlag and D. Tataru
Non-Generic Blow-Up Solutions for the Critical Focusing NLS in 1-d
Journal of the European Math Society Volume 11, Issue 1(2009), 1-125. Joint with W. Schlag
Stable Manifolds for All Monic Supercritical Focusing Nonlinear Schödinger Equations in One Dimension
Journal of the American Math Society, 19(2006), no. 4, 815-920. Joint with W. Schlag.
On the Focusing Critical Semi-Linear Wave Equation
American Journal of Mathematics, 129(2007), no. 3, 843-913. Joint with W. Schlag.
Global Regularity for the Yang-Mills Equations on High Dimensional Minkowski Space
To appear in "Memoirs of the AMS". Joint with J. Sterbenz.
Stability of Spherically Symmetric Wave Maps
Memoirs of the AMS, no. 853(2006), Vol.181, 80p.
Global Regularity of Wave Maps from R²⁺¹ to H ²
Comm. Math Phys. 250, 507-580(2004)
Null-Form Estimates and Nonlinear Waves
Advances in Differential. Equations 8(2003), no.10, 1193-1231
Global Regularity of Wave Maps from R³⁺¹ to Riemannian Surfaces
Comm. Math Phys. 238(1-2), 333-366(2003)