279 citations · 1.4k across the 39 of their papers we have counts for
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math.AP2007★ 279 cited
Well-posedness and scattering for the KP-II equation in a critical space
Martin Hadac, Sebastian Herr, Herbert Koch
The Cauchy problem for the Kadomtsev-Petviashvili-II equation (u_t+u_{xxx}+uu_x)_x+u_{yy}=0 is considered. A small data global well-posedness and scattering result in the scale inv…
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…