Renormalization and Blow Up for the critical Yang-Mills problem.
In preparation. Joint w. W. Schlag and D. Tataru
On structural stability of pseudo-conformal blowup for L^{2}-critical Hartree NLS.
submitted. Joint w. E. Lenzmann and P. Raphael.
Slow Blow up solutions for certain critical wave equations.
To appear in "Proceedings of the RIMS meeting on Harmonic Analysis and Nonlinear Partial Differential Equations".
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
To appear in "Surveys in Differential Geometry" 2007
Slow Blow-Up Solutions for the H¹ -critical focusing semi-linear wave equation on R³
To appear Duke Math. J. 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
To appear in "Journal of the European Math Society". 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)