F. Klaus

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20212023

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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 $H^{- 1}$ . 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 $H^{1} (R) + H^{s} (T)$

Friedrich Klaus, Peer Kunstmann

We show global wellposedness for the defocusing cubic nonlinear Schrödinger equation (NLS) in $H^{1} (R) + H^{3/2 +} (T)$ , and for the defocusing NLS with polynomial n…

Wellposedness for the KdV hierarchy

Wellposedness of NLS in Modulation Spaces

Global wellposedness of NLS in H1(R)+Hs(T)

Global wellposedness of NLS in $H^{1} (R) + H^{s} (T)$