147 citations · 1.7k across the 86 of their papers we have counts for
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Equivariant Schrödinger Maps in two spatial dimensions
Ioan Bejenaru, Alexandru Ionescu, Carlos E. Kenig +1
We consider equivariant solutions for the Schrödinger map problem from to with energy less than and show that they are global in time and sca…
A codimension two stable manifold of near soliton equivariant wave maps
Ioan Bejenaru, Joachim Krieger, Daniel Tataru
We consider finite energy equivariant solutions for the wave map problem from R2+1 to S2 which are close to the soliton family. We prove asymptotic orbital stability for a codimens…
Uniqueness in Calderon's problem with Lipschitz conductivities
Boaz Haberman, Daniel Tataru
We use X^{s,b}-inspired spaces to prove a uniqueness result for Calderon's problem in a Lipschitz domain under the assumption that the conductivity is Lipschitz. For Lipschitz cond…
Quasilinear Schrödinger equations I: Small data and quadratic interactions
Jeremy L. Marzuola, Jason Metcalfe, Daniel Tataru
In this article we prove local well-posedness in low-regularity Sobolev spaces for general quasilinear Schrödinger equations. These results represent improvements of the pioneering…
Price's Law on Nonstationary Spacetimes
Jason Metcalfe, Daniel Tataru, Mihai Tohaneanu
In this article we study the pointwise decay properties of solutions to the wave equation on a class of nonstationary asymptotically flat backgrounds in three space dimensions. Und…