Ground state mass concentration in the L^2-critical nonlinear Schrodinger equation below H^1
| dc.creator | Colliander, Jim | |
| dc.creator | Raynor, Sarah | |
| dc.creator | Sulem, Catherine | |
| dc.creator | Wright, J. Douglas | |
| dc.date | 2004-09-29 | |
| dc.date.accessioned | 2026-07-07T05:12:43Z | |
| dc.date.available | 2026-07-07T05:12:43Z | |
| dc.description | We consider finite time blowup solutions of the $L^2$-critical cubic focusing nonlinear Schrödinger equation on $\R^2$. Such functions, when in $H^1$, are known to concentrate a fixed $L^2$-mass (the mass of the ground state) at the point of blowup. Blowup solutions from initial data that is only in $L^2$ are known to concentrate at least a small amount of mass. In this paper we consider the intermediate case of blowup solutions from initial data in $H^s$, with $1 > s > s_Q$, where $s_Q \le \sQ$. Our main result is that such solutions, when radially symmetric, concentrate at least the mass of the ground state at the origin at blowup time. | |
| dc.description | 19 pages | |
| dc.identifier | https://arxiv.org/abs/math/0409585 | |
| dc.identifier | http://arxiv.org/abs/math/0409585 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/72679 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 35Q55, 35B33 | |
| dc.title | Ground state mass concentration in the L^2-critical nonlinear Schrodinger equation below H^1 | |
| dc.type | text |