Iryna Egorova and Gerald Teschl
On the Cauchy Problem for the 
Korteweg-de Vries Equation with Steplike Finite-Gap Initial Data II. Perturbations with Finite Moments
(71K, LaTeX2e)

ABSTRACT.  We solve the Cauchy problem for the Korteweg-de Vries equation with 
steplike finite-gap initial conditions under the assumption 
that the perturbations have a given number of derivatives and moments finite.