147 citations · 1.7k across the 86 of their papers we have counts for
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Local energy estimate on Kerr black hole backgrounds
Daniel Tataru, Mihai Tohaneanu
We study dispersive properties for the wave equation in the Kerr space-time with small angular momentum. The main result of thispaper is to establish uniform energy bounds and loca…
On the 2d Zakharov system with L^2 Schrödinger data
Ioan Bejenaru, Sebastian Herr, Justin Holmer +1
We prove local in time well-posedness for the Zakharov system in two space dimensions with large initial data in L^2 x H^{-1/2} x H^{-3/2}. This is the space of optimal regularity…
Renormalization and blow up for the critical Yang-Mills problem
Joachim Krieger, Wilhelm Schlag, Daniel Tataru
We consider the Yangs-Mills equations in 4+1 dimensions. This is the energy critical case and we show that it admits a family of solutions which blow up in finite time. They are ob…
A convolution estimate for two-dimensional hypersurfaces
Ioan Bejenaru, Sebastian Herr, Daniel Tataru
Given three transversal and sufficiently regular hypersurfaces in R^3 it follows from work of Bennett-Carbery-Wright that the convolution of two L^2 functions supported of the firs…
Global Schrödinger maps
Ioan Bejenaru, Alexandru D. Ionescu, Carlos E. Kenig +1
We consider the Schrödinger map initial-value problem in dimension two or greater. We prove that the Schrödinger map initial-value problem admits a unique global smooth solution, p…
Decay estimates for variable coefficient wave equations in exterior domains
Jason Metcalfe, Daniel Tataru
In this article we consider variable coefficient, time dependent wave equations in exterior domains. We prove localized energy estimates if the domain is star-shaped and global in…