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The initial-boundary value problem for the Korteweg-de Vries equation

Justin Holmer
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Abstract

We prove local well-posedness of the initial-boundary value problem for the Korteweg-de Vries equation on the right half-line, left half-line, and line segment, in the low regularity setting. This is accomplished by introducing an analytic family of boundary forcing operators, extending the techniques of Colliander-Kenig (2002).

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Justin Holmer. 2006-02-23. The initial-boundary value problem for the Korteweg-de Vries equation. https://arxiv.org/abs/math/0507168

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