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arXiv · 0909.1576

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

Iryna Egorova·Gerald Teschl
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Abstract

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.

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Iryna Egorova, Gerald Teschl. 2012-04-01. On the Cauchy Problem for the Korteweg-de Vries Equation with Steplike Finite-Gap Initial Data II. Perturbations with Finite Moments. https://doi.org/10.1007/s11854-011-0024-

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