3 papers
math.AP2025
Infinite-peakon solutions of the Camassa-Holm equation
Xiang-Ke Chang, Jonathan Eckhardt, Aleksey Kostenko
We study a class of (conservative) low regularity solutions to the Camassa-Holm equation on the line by exploiting the classical moment problem (in the framework of generalized ind…
math.AP2025
The conservative Camassa-Holm flow with step-like irregular initial data
Jonathan Eckhardt, Aleksey Kostenko
We extend the inverse spectral transform for the conservative Camassa-Holm flow on the line to a class of initial data that requires strong decay at one endpoint but only mild boun…
math.SP2024
Generalized indefinite strings with purely discrete spectrum
Jonathan Eckhardt, Aleksey Kostenko
We establish criteria for the spectrum of a generalized indefinite string to be purely discrete and to satisfy Schatten-von Neumann properties. The results can be applied to the is…