Global well-posedness and I method for the fifth order Korteweg-de Vries equation

Wengu Chen, Zihua Guo

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26 Citations (Scopus)

Abstract

The Kawahara equation has fewer symmetries than the KdV equation; in particular, it has no invariant scaling transform and is not completely integrable. Thus its analysis requires different methods. We prove that the Kawahara equation is locally well posed in H-7/4, using the ideas of an F?stype space [8]. Then we show that the equation is globally well posed in Hs for s ? -7/4, using the ideas of the I-method [7].
Original languageEnglish
Pages (from-to)121 - 156
Number of pages36
JournalJournal d'Analyse Mathematique
Volume114
Issue number1
DOIs
Publication statusPublished - 2011
Externally publishedYes

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