GLOBAL WELL-POSEDNESS OF TWO INITIAL-BOUNDARY-VALUE PROBLEMS FOR THE KORTEWEG-DE VRIES EQUATION

Two initial-boundary-value problems for the Korteweg-de Vries equation in a half-strip with two boundary conditions and in a bounded rectangle are considered and results on local and global well-posedness of these problems are established in Sobolev spaces of various orders, including fractional. Initial and boundary data satisfy natural (or close to natural) conditions, originating from properties of solutions of a corresponding initial-value problem for a linearized KdV equation. An essential part of the study is the investigation of special solutions of a "boundary potential" type for this linearized KdV equation.

Authors
Editors
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Publisher
KHAYYAM PUBL CO INC
Number of issue
6
Language
English
Pages
601-642
Status
Published
Department
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Link
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DOI
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Number
-
Volume
20
Year
2007
Organizations
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Keywords
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Date of creation
19.10.2018
Date of change
19.10.2018
Short link
https://repository.rudn.ru/en/records/article/record/8756/