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

Authors :
Amin Esfahani
Reza Pourgholi
Source :
Acta Mathematica Vietnamica. 39:237-251
Publication Year :
2014
Publisher :
Springer Science and Business Media LLC, 2014.

Abstract

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

Details

ISSN :
23154144 and 02514184
Volume :
39
Database :
OpenAIRE
Journal :
Acta Mathematica Vietnamica
Accession number :
edsair.doi...........bdcced82728acdcb2447515f309491e0
Full Text :
https://doi.org/10.1007/s40306-014-0050-7