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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