Remarks on the blow-up for the Schrödinger equation with critical mass on a plane domain
| dc.creator | Banica, Valeria | |
| dc.date | 2004-01-13 | |
| dc.date.accessioned | 2026-07-07T05:04:31Z | |
| dc.date.available | 2026-07-07T05:04:31Z | |
| dc.description | In this paper we concentrate on the analysis of the critical mass blowing-up solutions for the cubic focusing Schrödinger equation with Dirichlet boundary conditions, posed on a plane domain. We bound the blow-up rate from below, for bounded and unbounded domains. If the blow-up occurs on the boundary, the blow-up rate is proved to grow faster than $(T-t)^{-1}$, the expected one. Moreover, we show that blow-up cannot occur on the boundary, under certain geometric conditions on the domain. | |
| dc.description | 26 pages | |
| dc.identifier | https://arxiv.org/abs/math/0401129 | |
| dc.identifier | http://arxiv.org/abs/math/0401129 | |
| dc.identifier | Ann. Sc. Norm. Super. Pisa (5), Vol. III (2004), 139-170 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/69831 | |
| dc.subject | Analysis of PDEs | |
| dc.title | Remarks on the blow-up for the Schrödinger equation with critical mass on a plane domain | |
| dc.type | text |