On two initial boundary value problems for the generalized KdV equation

Results on nonlocal well-posedness are established for initial boundary value problems for the generalized KdV equation in a bounded rectangle and a half-strip under natural assumptions on initial and boundary data. The considerable part of the study is devoted to special solutions of the linearized...

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Published in:Нелинейные граничные задачи
Date:2004
Main Author: Faminskii, A.V.
Format: Article
Language:English
Published: Інститут прикладної математики і механіки НАН України 2004
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/169174
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:On two initial boundary value problems for the generalized KdV equation / A.V. Faminskii // Нелинейные граничные задачи. — 2004. — Т. 14. — С. 58-71. — Бібліогр.: 9 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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Summary:Results on nonlocal well-posedness are established for initial boundary value problems for the generalized KdV equation in a bounded rectangle and a half-strip under natural assumptions on initial and boundary data. The considerable part of the study is devoted to special solutions of the linearized KdV equation of the "boundary potential" type.
ISSN:0236-0497