121 citations · 235 across the 5 of their papers we have counts for
5 papers
The Camassa--Holm Equation and The String Density Problem
Jonathan Eckhardt, Aleksey Kostenko, Gerald Teschl
In this paper we review the recent progress in the (indefinite) string density problem and its applications to the Camassa--Holm equation.
On Spectral Deformations and Singular Weyl Functions for One-Dimensional Dirac Operators
Alexander Beigl, Jonathan Eckhardt, Aleksey Kostenko +1
We investigate the connection between singular Weyl-Titchmarsh-Kodaira theory and the double commutation method for one-dimensional Dirac operators. In particular, we compute the s…
An isospectral problem for global conservative multi-peakon solutions of the Camassa-Holm equation
Jonathan Eckhardt, Aleksey Kostenko
We introduce a generalized isospectral problem for global conservative multi-peakon solutions of the Camassa-Holm equation. Utilizing the solution of the indefinite moment problem…
Weyl-Titchmarsh Theory for Sturm-Liouville Operators with Distributional Potentials
Jonathan Eckhardt, Fritz Gesztesy, Roger Nichols +1
We systematically develop Weyl-Titchmarsh theory for singular differential operators on arbitrary intervals associated with rather general differential…
On the isospectral problem of the dispersionless Camassa-Holm equation
Jonathan Eckhardt, Gerald Teschl
We discuss direct and inverse spectral theory for the isospectral problem of the dispersionless Camassa--Holm equation, where the weight is allowed to be a finite signed measure. I…