3 papers
math.AP2023
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…
math.AP2022
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…
math.AP2021
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…