On the blowup for the $L^2$-critical focusing nonlinear Schrödinger equation in higher dimensions below the energy class
| dc.creator | Visan, Monica | |
| dc.creator | Zhang, Xiaoyi | |
| dc.date | 2006-06-28 | |
| dc.date | 2006-10-16 | |
| dc.date.accessioned | 2026-07-07T07:17:49Z | |
| dc.date.available | 2026-07-07T07:17:49Z | |
| dc.description | We consider the focusing mass-critical nonlinear Schrödinger equation and prove that blowup solutions to this equation with initial data in $H^s(\R^d)$, $s > s_0(d)$ and $d\geq 3$, concentrate at least the mass of the ground state at the blowup time. This extends recent work by J. Colliander, S. Raynor, C. Sulem, and J. D. Wright, \cite{crsw}, T. Hmidi and S. Keraani, \cite{hk}, and N. Tzirakis, \cite{tzirakis}, on the blowup of the two-dimensional and one-dimensional mass-critical focusing NLS below the energy space to all dimensions $d\ge 3$. | |
| dc.identifier | https://arxiv.org/abs/math/0606737 | |
| dc.identifier | http://arxiv.org/abs/math/0606737 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/114082 | |
| dc.subject | Analysis of PDEs | |
| dc.title | On the blowup for the $L^2$-critical focusing nonlinear Schrödinger equation in higher dimensions below the energy class | |
| dc.type | text |