Semiclassical limit and well-posedness of nonlinear Schrodinger-Poisson systems
| dc.contributor.author | Li, Hailiang | |
| dc.contributor.author | Lin, Chi-Kun | |
| dc.date.accessioned | 2021-01-19T15:31:39Z | |
| dc.date.available | 2021-01-19T15:31:39Z | |
| dc.date.issued | 2003-09-08 | |
| dc.description | An addendum was attached on August 17, 2006. The authors made the following two corrections: on the sixth line of Theorem 2.1, the expression A<sup>∊</sup> ∈ L<sup>∞</sup> ([0, T]; H<sup>s</sup> (ℝ<sup>N</sup>)) should be replaced by |A<sup>∊</sup>| - √C ∈ L<sup>∞</sup> ([0, T]; H<sup>s</sup> (ℝ<sup>N</sup>)). On the fourteenth line of Theorem 2.2, the expression A<sup>∊</sup> should be replaced by |A<sup>∊</sup>| - √C ∈ L<sup>∞</sup> ([0, T]; H<sup>s</sup> (ℝ<sup>N</sup>)). See last page of this manuscript for details. | |
| dc.description.abstract | This paper concerns the well-posedness and semiclassical limit of nonlinear Schrödinger-Poisson systems. We show the local well-posedness and the existence of semiclassical limit of the two models for initial data with Sobolev regularity, before shocks appear in the limit system. We establish the existence of a global solution and show the time-asymptotic behavior of a classical solutions of Schrodinger-Poisson system for a fixed re-scaled Planck constant. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 18 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Li, H., & Lin, C. K. (2003). Semiclassical limit and well-posedness of nonlinear Schrodinger-Poisson systems. Electronic Journal of Differential Equations, 2003(93), pp. 1-17. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/13120 | |
| 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 | Schrodinger-Poisson system | |
| dc.subject | Quantum hydrodynamics | |
| dc.subject | Euler-Poisson system | |
| dc.subject | Semiclassical limit | |
| dc.subject | WKB expansion | |
| dc.subject | Quasilinear symmetric hyperbolic system | |
| dc.title | Semiclassical limit and well-posedness of nonlinear Schrodinger-Poisson systems | |
| dc.type | Article |