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Fédération Denis Poisson |  |
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Fédération Denis Poisson | |
| HAL: hal-00638412, version 4 |
| arXiv: 1111.1518 |
| DOI: 10.1016/j.jde.2012.05.013 |
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| Journal of Differential Equations Volume 253, 5 (2012) 1584-1603 |
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| Available versions: | v1 (2011-11-07) | v2 (2011-12-08) | v3 (2011-12-12) | v4 (2011-12-21) |
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| On the well-posedness for Kadomtsev-Petviashvili-Burgers I equation. |
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| Mohamad Darwich 1 |
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| (2012-05-28) |
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| We prove local and global well-posedness in $H^{s,0}(\mathbb{R}^{2})$, $s > -\frac{1}{2}$, for the Cauchy problem associated with the Kadomotsev-Petviashvili-Burgers-I equation (KPBI) by working in Bourgain's type spaces. This result is almost sharp if one requires the flow-map to be smooth. |
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| 1: | Laboratoire de Mathématiques et Physique Théorique (LMPT) |
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CNRS : UMR6083 – Université François Rabelais - Tours |
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| Subject | : | Mathematics/Analysis of PDEs |
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| hal-00638412, version 4 | |
| http://hal.archives-ouvertes.fr/hal-00638412 | |
| oai:hal.archives-ouvertes.fr:hal-00638412 | |
| From: Mohamad Darwich | |
| Submitted on: Wednesday, 21 December 2011 10:50:10 | |
| Updated on: Thursday, 7 June 2012 13:54:24 | |
