Asymptotic behavior of solutions to a system of Schrodinger equations
| dc.contributor.author | Carvajal, Xavier | |
| dc.contributor.author | Gamboa, Pedro | |
| dc.contributor.author | Necasov'a, Sarka | |
| dc.contributor.author | Nguyen, Huy Hoang | |
| dc.contributor.author | Vera, Octavio | |
| dc.date.accessioned | 2022-06-06T19:47:03Z | |
| dc.date.available | 2022-06-06T19:47:03Z | |
| dc.date.issued | 2017-07-07 | |
| dc.description.abstract | This article concerns the behaviour of solutions to a coupled system of Schrodinger equations that has applications in many physical problems, especially in nonlinear optics. In particular, when the solution exists globally, we obtain the growth of the solutions in the energy space. Finally, some conditions are also obtained for having blow-up in this space. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 23 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Carvajal, X., Gamboa, P., Necasova, S., Nguyen, H. H., & Vera, O. (2017). Asymptotic behavior of solutions to a system of Schrodinger equations. Electronic Journal of Differential Equations, 2017(171), pp. 1-23. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/15864 | |
| dc.language.iso | en | |
| dc.publisher | 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, 2017, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Coupled Schrödinger system | |
| dc.subject | Energy conservation | |
| dc.subject | Global solution | |
| dc.subject | Growth of solutions | |
| dc.subject | Blow-up | |
| dc.subject | Well-posedness | |
| dc.title | Asymptotic behavior of solutions to a system of Schrodinger equations | |
| dc.type | Article |