Well-posedness and analyticity of the Cauchy problem for the multi-component Novikov equation

Well-posedness and analyticity of the Cauchy problem for the multi-component Novikov equation

In this paper, we are concerned with the Cauchy problem of the multi-component Novikov equation. We establish the local well-posedness in a range of the Besov spaces by using Littlewood–Paley decomposition and transport equation theory. Moreover, with analytic initial data, we show that its solution...

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Veröffentlicht in:Monatshefte für Mathematik 2020-02, Vol.191 (2), p.295-323
Hauptverfasser: Mi, Yongsheng, Guo, Boling, Luo, Ting
Format: Artikel
Sprache:eng
Schlagworte:
Cauchy problems
Function space
Mathematical analysis
Mathematics
Mathematics and Statistics
Physical Sciences
Science & Technology
Transport equations
Well posed problems
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Zusammenfassung:In this paper, we are concerned with the Cauchy problem of the multi-component Novikov equation. We establish the local well-posedness in a range of the Besov spaces by using Littlewood–Paley decomposition and transport equation theory. Moreover, with analytic initial data, we show that its solutions are analytic in both variables, globally in space and locally in time.
ISSN:0026-9255
1436-5081
DOI:10.1007/s00605-019-01297-3