The Small Dispersion Limit of the Korteweg-DeVries Equations (Classic Reprint)

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Excerpt from The Small Dispersion Limit of the Korteweg-Devries Equations We also show that leads, in an appropriate weak sense, to a limit. In Section 3 we show that Q is continuous in a weak sequential topology, and that the space of admissible functions is compact in that topology. We further show that Q is a strictly convex function; since the admissible functions form a convex set, this implies not only that the minimum of Q is taken on at a unique function, but that this function is the only one which satisfies ...

The Small Dispersion Limit of the Korteweg-DeVries Equations (Classic Reprint) 2018, Forgotten Books

ISBN-13: 9781332966967

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