Well-posedness of the ADMB–KdV equation in Sobolev spaces of negative indices

Well-posedness of the ADMB–KdV equation in Sobolev spaces of negative indices

In this paper, we study the ADMB–KdV equation. We show that the associated initial value problem is locally well posed in Sobolev spaces for s >−1/2. We also prove that our result is sharp in some sense.

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Veröffentlicht in:Acta mathematica vietnamica 2014-06, Vol.39 (2), p.237-251
Hauptverfasser: Esfahani, Amin, Pourgholi, Reza
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics
Mathematics and Statistics
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Zusammenfassung:In this paper, we study the ADMB–KdV equation. We show that the associated initial value problem is locally well posed in Sobolev spaces for s >−1/2. We also prove that our result is sharp in some sense.
ISSN:0251-4184
2315-4144
DOI:10.1007/s40306-014-0050-7