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20052008
most citedLow regularity local well-posedness of the Derivative Nonlinear Schrödinger Equation with periodic initial data

104 citations · 187 across the 2 of their papers we have counts for

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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…