Normal form approach to near-linear dynamics of modified KdV equation
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Yoon, Haewon | ko |
| dc.date.accessioned | 2019-05-02T02:50:02Z | - |
| dc.date.available | 2019-05-02T02:50:02Z | - |
| dc.date.created | 2019-04-29 | - |
| dc.date.issued | 2019-07 | - |
| dc.identifier.citation | JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, v.475, no.1, pp.1 - 12 | - |
| dc.identifier.issn | 0022-247X | - |
| dc.identifier.uri | http://hdl.handle.net/10203/261701 | - |
| dc.description.abstract | In this paper, we implement normal form reduction to the periodic modified Korteweg-de Vries (mKdV) equation to investigate the behavior of a solution when a subtle high-frequency initial data is given. We use differentiation by parts to decompose the equation into resonant and non-resonant parts and provide some nonlinear estimates for each term. If a subtle high-frequency initial data is given, a solution of the mKdV equation can be approximated by a solution of the linearized mKdV equation for large times. (C) 2018 Elsevier Inc. All rights reserved. | - |
| dc.language | English | - |
| dc.publisher | ACADEMIC PRESS INC ELSEVIER SCIENCE | - |
| dc.title | Normal form approach to near-linear dynamics of modified KdV equation | - |
| dc.type | Article | - |
| dc.identifier.wosid | 000464490800001 | - |
| dc.identifier.scopusid | 2-s2.0-85061808302 | - |
| dc.type.rims | ART | - |
| dc.citation.volume | 475 | - |
| dc.citation.issue | 1 | - |
| dc.citation.beginningpage | 1 | - |
| dc.citation.endingpage | 12 | - |
| dc.citation.publicationname | JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | - |
| dc.identifier.doi | 10.1016/j.jmaa.2018.09.061 | - |
| dc.description.isOpenAccess | N | - |
| dc.type.journalArticle | Article | - |
| dc.subject.keywordAuthor | Modified KdV equation | - |
| dc.subject.keywordAuthor | Normal form reduction | - |
| dc.subject.keywordAuthor | Near-linear dynamics | - |
| dc.subject.keywordPlus | WELL-POSEDNESS | - |
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