104 citations · 187 across the 2 of their papers we have counts for
3 papers
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.AP2007★ 104 cited
Low regularity local well-posedness of the Derivative Nonlinear Schrödinger Equation with periodic initial data
A. Grünrock, S. Herr
The Cauchy problem for the derivative nonlinear Schrödinger equation with periodic boundary condition is considered. Local well-posedness for periodic initial data u_0 in the space…
math.AP2005
An improved bilinear estimate for Benjamin-Ono type equations
S. Herr
A bilinear estimate in Fourier restriction norm spaces with applications to the Cauchy problem associated to u_t - |D|^αu_x + uu_x =0 is proved, for 1< α<2. As a consequence, local…