104 citations · 109 across the 4 of their papers we have counts for
4 papers
Low regularity local well-posedness for the zero energy Novikov-Veselov equation
Joseph Adams, Axel Grünrock
The initial value problem for the Novikov-Veselov equation $$\partial_tu+(\partial ^3 + \overline{\partial}^3)u +3(\partial (u\overline{\partial}^{-1}\partial u…
On the hierarchies of higher order mKdV and KdV equations
Axel Gruenrock
The Cauchy problem for the higher order equations in the mKdV hierarchy is investigated with data in the spaces defined by the norm $$\n{v_0}{\hat{H}^r_s(\R)} :=…
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…
A bilinear Airy- estimate with application to gKdV-3
A Gruenrock
The Fourier restriction norm method is used to show local wellposedness for the Cauchy Problem for the generalized KdV-equation of order three with data in the usual Sobolev space…