On the Cauchy Problem for the Korteweg-de Vries Equation with Steplike Finite-Gap Initial Data I. Schwartz-Type Perturbations

Gerald Teschl; Iryna Egorova; Katrin Grunert

arxiv: 0812.4003 · v2 · submitted 2008-12-20 · 🌊 nlin.SI · math-ph· math.AP· math.MP

On the Cauchy Problem for the Korteweg-de Vries Equation with Steplike Finite-Gap Initial Data I. Schwartz-Type Perturbations

Iryna Egorova , Katrin Grunert , Gerald Teschl This is my paper

classification 🌊 nlin.SI math-phmath.APmath.MP

keywords cauchyequationfinite-gapinitialkorteweg-deperturbationsproblemschwartz-type

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We solve the Cauchy problem for the Korteweg-de Vries equation with initial conditions which are steplike Schwartz-type perturbations of finite-gap potentials under the assumption that the respective spectral bands either coincide or are disjoint.

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On the Cauchy Problem for the Korteweg-de Vries Equation with Steplike Finite-Gap Initial Data I. Schwartz-Type Perturbations

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