Global well-posedness of NLS-KdV systems for periodic functions
| dc.contributor.author | Matheus, Carlos | |
| dc.date.accessioned | 2021-08-02T18:20:28Z | |
| dc.date.available | 2021-08-02T18:20:28Z | |
| dc.date.issued | 2007-01-02 | |
| dc.description.abstract | We prove that the Cauchy problem of the Schrödinger-Korteweg-deVries (NLS-KdV) system for periodic functions is globally well-posed for initial data in the energy space H1 x H1. More precisely, we show that the non-resonant NLS-KdV system is globally well-posed for initial data in Hs(T) x Hs(T) with s > 11/13 and the resonant NLS-KdV system is globally well-posed with s > 8/9. The strategy is to apply the I-method used by Colliander, Keel, Staffilani, Takaoka and Tao. By doing this, we improve the results by Arbieto, Corcho and Matheus concerning the global well-posedness of NLS-KdV systems. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 20 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Matheus, C. (2021). Global well-posedness of NLS-KdV systems for periodic functions. <i>Electronic Journal of Differential Equations, 2007</i>(07), pp. 1-20. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/14157 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University-San Marcos, 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, 2007, San Marcos, Texas: Texas State University-San Marcos and University of North Texas. | |
| dc.subject | Global well-posedness | |
| dc.subject | Schrödinger-Korteweg-de Vries system | |
| dc.subject | I-method | |
| dc.title | Global well-posedness of NLS-KdV systems for periodic functions | |
| dc.type | Article |