Article

**J. d'Analyse Math. 115:1, 71-101 (2011)**[DOI: 10.1007/s11854-011-0024-9]

## On the Cauchy Problem for the Korteweg-de Vries Equation with Steplike Finite-Gap Initial Data II. Perturbations with Finite Moments

### Iryna Egorova and Gerald Teschl

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

** MSC2000:** Primary 35Q53, 37K15; Secondary 37K20, 81U40

**Keywords:** *KdV, inverse scattering, finite-gap background, steplike*

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