6 citations · 6 across the 4 of their papers we have counts for
3 papers · 1 filter
Cwikel's bound reloaded
Dirk Hundertmark, Peer Kunstmann, Tobias Ried +1
There are a couple of proofs by now for the famous Cwikel--Lieb--Rozenblum (CLR) bound, which is a semiclassical bound on the number of bound states for a Schrödinger operator, pro…
Knocking out teeth in one-dimensional periodic NLS
Leonid Chaichenets, Dirk Hundertmark, Peer Kunstmann +1
We show the existence of weak solutions in the extended sense of the Cauchy problem for the cubic nonlinear Schrödinger equation in one dimension with initial data in $H^{s…
Nonlinear Schrödinger equation, differentiation by parts and modulation spaces
Leonid Chaichenets, Dirk Hundertmark, Peer Kunstmann +1
We show the existence of weak solutions in the extended sense of the Cauchy problem for the cubic nonlinear Schrödinger equation in the modulation space wh…