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Analyticity of Solutions of the Korteweg–De Vries Equation

Nakao Hayashi

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Source: Crossref

Published: Sep 1, 1991

DOI: 10.1137/0522107

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Source abstract

It is proven that if the initial function of the Korteweg–de Vries equation is analytic and has an analytic continuation to a strip containing the real axis, then the local in time solution has the same property, although the width of the strip might decrease with time. The result contains the case of the complex-valued initial function.

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