2 papers
math-ph2018
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…
math.AP2017
Solitary waves in nonlocal NLS with dispersion averaged saturated nonlinearities
Dirk Hundertmark, Young-Ran Lee, Tobias Ried +1
A nonlinear Schrödinger equation (NLS) with dispersion averaged nonlinearity of saturated type is considered. Such a nonlocal NLS is of integro-differential type and it arises natu…