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math.AP2008★ 83 cited
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…
math.AP2008★ 39 cited
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…