13 citations · 14 across the 7 of their papers we have counts for
8 papers
Global well-posedness of defocusing cubic NLS in
Friedrich Klaus
We prove global well-posedness of the one-dimensional defocusing cubic nonlinear Schrödinger equation in the modulation space . This space imposes no spat…
Wellposedness for the KdV hierarchy
Friedrich Klaus, Herbert Koch, Baoping Liu
We prove a version of wellposedness for all equations of the KdV hierarchy in . Ingredients are 1) The Miura map which allows to define the Gardner hierarchy through the ge…
A Strichartz estimate for quasiperiodic functions
Friedrich Klaus
In this work we prove a Strichartz estimate for the Schrödinger equation in the quasiperiodic setting. We also show a lower bound on the number of resonant frequency interactions i…
A priori estimates for a quadratic dNLS
Friedrich Klaus
In this work we consider integrable PDE with higher dimensional Lax pairs. Our main example is a quadratic dNLS equation with a Lax pair. For this equation we show a-p…
Wellposedness of NLS in Modulation Spaces
Friedrich Klaus
We prove new local and global well-posedness results for the cubic one-dimensional nonlinear Schrödinger equation in modulation spaces. Local results are obtained via multilinear i…
Global wellposedness of NLS in
Friedrich Klaus, Peer Kunstmann
We show global wellposedness for the defocusing cubic nonlinear Schrödinger equation (NLS) in , and for the defocusing NLS with polynomial n…
A priori estimates for the derivative nonlinear Schrödinger equation
Friedrich Klaus, Robert Schippa
We prove low regularity a priori estimates for the derivative nonlinear Schrödinger equation in Besov spaces with positive regularity index conditional upon small -norm. This…
Unconditional uniqueness of higher order nonlinear Schrödinger equations
Friedrich Klaus, Peer Kunstmann, Nikolaos Pattakos
We show the existence of weak solutions in the extended sense of the Cauchy problem for the cubic fourth order nonlinear Schrödinger equation with initial data , where…