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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: | |
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Format: | Article |
Language: | English |
Published: |
Інститут прикладної математики і механіки НАН України
2004
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Series: | Нелинейные граничные задачи |
Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/169174 |
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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. |
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