Global solution for the Kadomtsev-Petviashvili equation (KPII) in anisotropic Sobolev spaces of negative indices
| dc.contributor.author | Isaza J., Pedro | |
| dc.contributor.author | Mejia L., Jorge | |
| dc.date.accessioned | 2020-11-25T18:22:29Z | |
| dc.date.available | 2020-11-25T18:22:29Z | |
| dc.date.issued | 2003-06-13 | |
| dc.description.abstract | It is proved that the Cauchy problem for the Kadomtsev-Petviashvili equation (KPII) is globally well-posed for initial data in anisotropic Sobolev spaces Hs0 (ℝ2) with s > -1/14. The extension of a local solution to a solution in an arbitrary interval is carried out by means of an almost conservation property of the Hs0 norm of the solution. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 12 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Isaza J., P., & Mejia L., J. (2003). Global solution for the Kadomtsev-Petviashvili equation (KPII) in anisotropic Sobolev spaces of negative indices. <i>Electronic Journal of Differential Equations, 2003</i>(68), pp. 1-12. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/13008 | |
| dc.language.iso | en | |
| dc.publisher | Southwest Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2003, San Marcos, Texas: Southwest Texas State University and University of North Texas. | |
| dc.subject | Nonlinear dispersive equations | |
| dc.subject | Global solutions | |
| dc.subject | Almost conservation laws | |
| dc.title | Global solution for the Kadomtsev-Petviashvili equation (KPII) in anisotropic Sobolev spaces of negative indices | |
| dc.type | Article |