83 citations · 152 across the 9 of their papers we have counts for
10 papers
On the stability of certain spin models in 2+1 dimensions
I. Bejenaru, A. D. Ionescu, C. E. Kenig
We prove large-data local stability theorems for several spin models in two dimensions.
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…
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…
Global wellposedness in the energy space for the Maxwell-Schrödinger system
Ioan Bejenaru, Daniel Tataru
We prove that the Maxwell-Schrödinger system in is globally well-posed in the energy space. The key element of the proof is to obtain a short time wave packet parametrix…
Large data local solutions for the derivative NLS equation
Ioan Bejenaru, Daniel Tataru
We consider the Derivative NLS equation with general quadratic nonlinearities. In \cite{be2} the first author has proved a sharp small data local well-posedness result in Sobolev s…
Low regularity solutions for a 2D quadratic non-linear Schrödinger equation
Ioan Bejenaru, Daniela De Silva
We establish that the initial value problem for the quadratic non-linear Schrödinger equation where $u: \R^2 \times \R \to \C$, is locally well-posed in $H^s(\…