Publications (59)
Strichartz estimates for partially periodic solutions to Schrödinger equations in 4d and applications
Sebastian Herr, Daniel Tataru, Nikolay Tzvetkov
On the 2d Zakharov system with L^2 Schrödinger data
Ioan Bejenaru, Sebastian Herr, Justin Holmer +1
Gradient NLW on curved background in 4+1 dimensions
Dan-Andrei Geba, Daniel Tataru
Nonlinear wave equations
Daniel Tataru
Renormalization and blow up for the critical Yang-Mills problem
Joachim Krieger, Wilhelm Schlag, Daniel Tataru
Carleman estimates and unique continuation for second order parabolic equations with nonsmooth coefficients
Herbert Koch, Daniel Tataru
Regularity of Wave-Maps in dimension 2+1
Jacob Sterbenz, Daniel Tataru
The lifespan of small data solutions in two dimensional capillary water waves
Mihaela Ifrim, Daniel Tataru
Global well-posedness for the Maxwell-Klein Gordon equation in 4+1 dimensions. Small energy
Joachim Krieger, Jacob Sterbenz, Daniel Tataru
Global Schrödinger maps
Ioan Bejenaru, Alexandru D. Ionescu, Carlos E. Kenig +1
The Threshold Theorem for the $(4+1)$-dimensional Yang--Mills equation: an overview of the proof
Sung-Jin Oh, Daniel Tataru
A Morawetz inequality for water waves
Thomas Alazard, Mihaela Ifrim, Daniel Tataru
Strichartz estimates on Schwarzschild black hole backgrounds
Jeremy Marzuola, Jason Metcalfe, Daniel Tataru +1
Local decay of waves on asymptotically flat stationary space-times
Daniel Tataru
Strichartz estimates and local smoothing estimates for asymptotically flat Schrödinger equations
Jeremy Marzuola, Jason Metcalfe, Daniel Tataru
Local wellposedness of Chern-Simons-Schrödinger
Baoping Liu, Paul Smith, Daniel Tataru
Global parametrices and dispersive estimates for variable coefficient wave equations
Jason Metcalfe, Daniel Tataru
Equivariant Schrödinger Maps in two spatial dimensions: the $\H^2$ target
Ioan Bejenaru, Alexandru Ionescu, Carlos E. Kenig +1
Wave packet parametrices for evolutions governed by PDO's with rough symbols
Jeremy Marzuola, Jason Metcalfe, Daniel Tataru
Slow blow-up solutions for the H^1(R^3) critical focusing semi-linear wave equation in R^3
Joachim Krieger, Wilhelm Schlag, Daniel Tataru
Two dimensional water waves in holomorphic coordinates
John Hunter, Mihaela Ifrim, Daniel Tataru
Local energy decay for scalar fields on time dependent non-trapping backgrounds
Jason Metcalfe, Jacob Sterbenz, Daniel Tataru
Global well-posedness and scattering of the (4+1)-dimensional Maxwell-Klein-Gordon equation
Sung-Jin Oh, Daniel Tataru
Semiclassical Lp estimates
Herbert Koch, Daniel Tataru, Maciej Zworski
Decay estimates for variable coefficient wave equations in exterior domains
Jason Metcalfe, Daniel Tataru
Local energy estimate on Kerr black hole backgrounds
Daniel Tataru, Mihai Tohaneanu
Two dimensional water waves in holomorphic coordinates II: global solutions
Mihaela Ifrim, Daniel Tataru
Large data local solutions for the derivative NLS equation
Ioan Bejenaru, Daniel Tataru
Low regularity bounds for mKdV
Michael Christ, Justin Holmer, Daniel Tataru
Pointwise decay for the Maxwell field on black hole space-times
Jason Metcalfe, Daniel Tataru, Mihai Tohaneanu
Conserved energies for the cubic NLS in 1-d
Herbert Koch, Daniel Tataru
Well-posedness and dispersive decay of small data solutions for the Benjamin-Ono equation
Mihaela Ifrim, Daniel Tataru
Quasilinear Schrödinger equations II: Small data and cubic nonlinearities
Jeremy L. Marzuola, Jason Metcalfe, Daniel Tataru
The lifespan of small data solutions to the KP-I
Benjamin Harrop-Griffiths, Mihaela Ifrim, Daniel Tataru
Global well-posedness for the Yang-Mills equation in $4+1$ dimensions. Small energy
Joachim Krieger, Daniel Tataru
Sharp L^p bounds on spectral clusters for Lipschitz metrics
Herbert Koch, Hart Smith, Daniel Tataru
The NLS approximation for two dimensional deep gravity waves
Mihaela Ifrim, Daniel Tataru
A codimension two stable manifold of near soliton equivariant wave maps
Ioan Bejenaru, Joachim Krieger, Daniel Tataru
Energy dispersed large data wave maps in 2+1 dimensions
Jacob Sterbenz, Daniel Tataru
Global wellposedness in the energy space for the Maxwell-Schrödinger system
Ioan Bejenaru, Daniel Tataru
Local well-posedness of the (4+1)-dimensional Maxwell-Klein-Gordon equation at energy regularity
Sung-Jin Oh, Daniel Tataru
Renormalization and blow up for charge one equivariant critical wave maps
Joachim Krieger, Wilhelm Schlag, Daniel Tataru
Dispersive estimates for principally normal pseudodifferential operators
Herbert Koch, Daniel Tataru
Carleman estimates and absence of embedded eigenvalues
Herbert Koch, Daniel Tataru
Near soliton evolution for equivariant Schroedinger Maps in two spatial dimensions
Ioan Bejenaru, Daniel Tataru
Price's Law on Nonstationary Spacetimes
Jason Metcalfe, Daniel Tataru, Mihai Tohaneanu
Finite depth gravity water waves in holomorphic coordinates
Benjamin Harrop-Griffiths, Mihaela Ifrim, Daniel Tataru
Global bounds for the cubic nonlinear Schrödinger equation (NLS) in one space dimension
Mihaela Ifrim, Daniel Tataru
A-priori bounds for the 1-d cubic NLS in negative Sobolev spaces
Herbert Koch, Daniel Tataru
Subcritical Lp bounds on spectral clusters for Lipschitz metrics
Herbert Koch, Hart F. Smith, Daniel Tataru
Null structures and degenerate dispersion relations in two space dimensions
Yuqiu Fu, Daniel Tataru
A convolution estimate for two-dimensional hypersurfaces
Ioan Bejenaru, Sebastian Herr, Daniel Tataru
Long time Solutions for a Burgers-Hilbert Equation via a Modified Energy Method
John K. Hunter, Mihaela Ifrim, Daniel Tataru +1
Energy dispersed solutions for the (4+1)-dimensional Maxwell-Klein-Gordon equation
Sung-Jin Oh, Daniel Tataru
Two dimensional gravity water waves with constant vorticity: I. Cubic lifespan
Mihaela Ifrim, Daniel Tataru
L^p eigenfunction bounds for the Hermite operator
Herbert Koch, Daniel Tataru
Quasilinear Schrödinger equations I: Small data and quadratic interactions
Jeremy L. Marzuola, Jason Metcalfe, Daniel Tataru
Local energy decay for Maxwell fields part I: Spherically symmetric black-hole backgrounds
Jacob Sterbenz, Daniel Tataru
Energy and local energy bounds for the 1-D cubic NLS equation in H^{-1/4}
Herbert Koch, Daniel Tataru