Mass Concentration Phenomenon for the Quintic Nonlinear Schrödinger Equation in One Dimension
| dc.creator | Tzirakis, Nikolaos | |
| dc.date | 2006-03-29 | |
| dc.date.accessioned | 2026-07-07T07:07:21Z | |
| dc.date.available | 2026-07-07T07:07:21Z | |
| dc.description | We consider the $L^{2}$-critical quintic focusing nonlinear Schrödinger equation (NLS) on ${\bf R}$. It is well known that $H^{1}$ solutions of the aforementioned equation blow up in finite time. In higher dimensions, for $H^{1}$ spherically symmetric blow-up solutions of the $L^{2}$-critical focusing NLS, there is a minimal amount of concentration of the $L^{2}$-norm (the mass of the ground state) at the origin. In this paper we prove the existence of a similar phenomenon for the one-dimensional case and rougher initial data, $(u_{0}\in H^{s}, s<1)$, without any additional assumption. | |
| dc.description | 23 pages | |
| dc.identifier | https://arxiv.org/abs/math/0603692 | |
| dc.identifier | http://arxiv.org/abs/math/0603692 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/110360 | |
| dc.subject | Analysis of PDEs | |
| dc.title | Mass Concentration Phenomenon for the Quintic Nonlinear Schrödinger Equation in One Dimension | |
| dc.type | text |