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

Gerald Teschl; Iryna Egorova

arxiv: 0909.1576 · v2 · pith:J4CP6EWBnew · submitted 2009-09-08 · 🌊 nlin.SI · math.AP

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 This is my paper

classification 🌊 nlin.SI math.AP

keywords cauchyequationfinitefinite-gapinitialkorteweg-demomentsperturbations

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

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