87 citations · 515 across the 26 of their papers we have counts for
3 papers · 2 filters
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…
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…