An isospectral problem for global conservative multi-peakon solutions of   the Camassa-Holm equation
  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 given by M. G. Krein and H. Langer, we show that the conservative Camassa-Holm equation is integrable by the inverse spectral transform in the multi-peakon case. 
Jonathan Eckhardt and Aleksey Kostenko
math.SP math-ph math.MP nlin.SI