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Global well-posedness of the initial value problem for the Hirota-Satsuma system

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Abstract

This paper discusses the global well-posedness of the initial value problem for a mathematical model proposed by Hirota and Satsuma. In order to derive the global well-posedness we employ Kato's theory for abstract evolution equations together with some delicate a priori estimates obtained by using harmonic analysis techniques.

Original languageEnglish
Pages (from-to)361-378
Number of pages18
JournalManuscripta Mathematica
Volume84
Issue number1
DOIs
StatePublished - Dec 1994
Externally publishedYes

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