Mass concentration for the $L^2$-critical Nonlinear Schrödinger equations of higher orders
| dc.creator | Chae, Myeongju | |
| dc.creator | Hong, Sunggeum | |
| dc.creator | Lee, Sanghyuk | |
| dc.date | 2009-04-20 | |
| dc.date.accessioned | 2026-07-07T13:06:20Z | |
| dc.date.available | 2026-07-07T13:06:20Z | |
| dc.description | We consider the mass concentration phenomenon for the $L^2$-critical nonlinear Schrödinger equations of higher orders. We show that any solution $u$ to $iu_{t} + (-Δ)^{\fracα2} u =\pm |u|^\frac{2α}{d}u$, $u(0,\cdot)\in L^2$ for $α>2$, which blows up in a finite time, satisfies a mass concentration phenomenon near the blow-up time. We verify that as $α$ increases, the size of region capturing a mass concentration gets wider due to the stronger dispersive effect. | |
| dc.description | 21 pages, 2 figures | |
| dc.identifier | https://arxiv.org/abs/0904.3021 | |
| dc.identifier | http://arxiv.org/abs/0904.3021 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/227748 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 35B05, 35B30, 35B33, 35Q55, 42B10 | |
| dc.title | Mass concentration for the $L^2$-critical Nonlinear Schrödinger equations of higher orders | |
| dc.type | text |