I. Bejenaru

activity

20052009

most citedOn the 2d Zakharov system with L^2 Schrödinger data

83 citations · 152 across the 9 of their papers we have counts for

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Showing 2006Show all

5 papers · 1 filter

math.AP2006★ 1 cited

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…

math.AP2006

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 $i u_{t} - Δ u = u^{2}$ where $u: \R^2 \times \R \to \C$, is locally well-posed in $H^s(\…

math.AP2006

Global existence and uniqueness of Schrödinger maps in dimensions $d \geq 4$

I. Bejenaru, A. D. Ionescu, C. E. Kenig

In dimensions $d \geq 4$ , we prove that the Schrödinger map initial-value problem admits global (in time) solutions for smooth data with small norm in the critical Sobolev space.

math.AP2006★ 18 cited

Global results for Schrödinger Maps in dimensions $n \geq 3$

Ioan Bejenaru

We study the global well-posedness theory for the Schrödinger Maps equation. We work in $n + 1$ dimensions, for $n \geq 3$ , and prove a local well-posedness for small initial data in…

math.AP2006★ 35 cited

On Schrödinger Maps