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