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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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Main Author: Faminskii, A.V.
Format: Article
Language:English
Published: Інститут прикладної математики і механіки НАН України 2004
Series:Нелинейные граничные задачи
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/169174
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spelling irk-123456789-1691742020-06-08T01:26:00Z On two initial boundary value problems for the generalized KdV equation Faminskii, A.V. 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. 2004 Article 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. 0236-0497 http://dspace.nbuv.gov.ua/handle/123456789/169174 en Нелинейные граничные задачи Інститут прикладної математики і механіки НАН України
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection DSpace DC
language English
description 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.
format Article
author Faminskii, A.V.
spellingShingle Faminskii, A.V.
On two initial boundary value problems for the generalized KdV equation
Нелинейные граничные задачи
author_facet Faminskii, A.V.
author_sort Faminskii, A.V.
title On two initial boundary value problems for the generalized KdV equation
title_short On two initial boundary value problems for the generalized KdV equation
title_full On two initial boundary value problems for the generalized KdV equation
title_fullStr On two initial boundary value problems for the generalized KdV equation
title_full_unstemmed On two initial boundary value problems for the generalized KdV equation
title_sort on two initial boundary value problems for the generalized kdv equation
publisher Інститут прикладної математики і механіки НАН України
publishDate 2004
url http://dspace.nbuv.gov.ua/handle/123456789/169174
citation_txt 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.
series Нелинейные граничные задачи
work_keys_str_mv AT faminskiiav ontwoinitialboundaryvalueproblemsforthegeneralizedkdvequation
first_indexed 2023-10-18T22:24:35Z
last_indexed 2023-10-18T22:24:35Z
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