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

Peter D. Lax

ISBN 10: 0656045701 / ISBN 13: 9780656045709

Editore: Forgotten Books, 2018

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New Book. Shipped from UK. Established seller since 2000.

Codice articolo LX-9780656045709

Dati bibliografici

• Titolo: The Small Dispersion Limit of the Korteweg-Devries Equations (Classic Reprint)
• Editore: Forgotten Books
• Data di pubblicazione: 2018
• Lingua: Inglese
• ISBN 10: 0656045701
• ISBN 13: 9780656045709
• Rilegatura: HRD
• Condizione: New

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Riassunto

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 variational conditions.

The variational conditions are then converted to a riemann-hilbert problem, i.a. To the problem of determining an analytic function of class Hp in the upper half plane whose real and imaginary parts are prescribed on alternate intervals of the real axis.

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